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1123985488608 = 253247973472467
BaseRepresentation
bin10000010110110010110…
…000010111101011100000
310222110012110222211112200
4100112302300113223200
5121403410241113413
62220203553453200
7144130260005523
oct20266260275340
93873173884480
101123985488608
113a3752562654
12161a04571200
1381cb7093498
143c588c06bba
151e386577573
hex105b2c17ae0

1123985488608 has 288 divisors, whose sum is σ = 3308838833664. Its totient is φ = 361717456896.

The previous prime is 1123985488583. The next prime is 1123985488609. The reversal of 1123985488608 is 8068845893211.

1123985488608 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 9 + 8 + 548 + 86 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123985488609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455606991 + ... + 455609457.

It is an arithmetic number, because the mean of its divisors is an integer number (11489023728).

Almost surely, 21123985488608 is an apocalyptic number.

1123985488608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123985488608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654419416832).

1123985488608 is an abundant number, since it is smaller than the sum of its proper divisors (2184853345056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1123985488608 is a wasteful number, since it uses less digits than its factorization.

1123985488608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 1123985488608 in words is "one trillion, one hundred twenty-three billion, nine hundred eighty-five million, four hundred eighty-eight thousand, six hundred eight".