1124985653568 has 336 divisors, whose sum is σ = 3787636604544. Its totient is φ = 312504791040.

The previous prime is 1124985653567. The next prime is 1124985653587. The reversal of 1124985653568 is 8653565894211.

1124985653568 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 9 + 8 + 5 + 65 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1124985653568² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124985653567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333722923 + ... + 333726293.

Almost surely, 2^{1124985653568} is an apocalyptic number.

1124985653568 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 1124985653568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893818302272).

1124985653568 is an abundant number, since it is smaller than the sum of its proper divisors (2662650950976).

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

1124985653568 is a wasteful number, since it uses less digits than its factorization.

1124985653568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5657 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 1124985653568 in words is "one trillion, one hundred twenty-four billion, nine hundred eighty-five million, six hundred fifty-three thousand, five hundred sixty-eight".