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1225848980664 = 23327211231373371
BaseRepresentation
bin10001110101101010010…
…010110000010010111000
311100012010112010101022200
4101311222102300102320
5130041014314340124
62335051445550200
7154364452261500
oct21655222602270
94305115111280
101225848980664
11432974878930
121796b2415360
138b79b993539
144348d54aa00
1521d491acbc9
hex11d6a4b04b8

1225848980664 has 288 divisors, whose sum is σ = 4396328576640. Its totient is φ = 304558531200.

The previous prime is 1225848980659. The next prime is 1225848980689. The reversal of 1225848980664 is 4660898485221.

1225848980664 is a `hidden beast` number, since 1 + 22 + 58 + 489 + 80 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 205899 + ... + 1579269.

It is an arithmetic number, because the mean of its divisors is an integer number (15265029780).

Almost surely, 21225848980664 is an apocalyptic number.

1225848980664 is a gapful number since it is divisible by the number (14) 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 1225848980664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198164288320).

1225848980664 is an abundant number, since it is smaller than the sum of its proper divisors (3170479595976).

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

1225848980664 is a wasteful number, since it uses less digits than its factorization.

1225848980664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373431 (or 1373417 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 1225848980664 in words is "one trillion, two hundred twenty-five billion, eight hundred forty-eight million, nine hundred eighty thousand, six hundred sixty-four".