113552445523968 has 864 divisors, whose sum is σ = 382020256308600. Its totient is φ = 32412205056000.

The previous prime is 113552445523961. The next prime is 113552445523991. The reversal of 113552445523968 is 869325544255311.

113552445523968 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 2 + 4 + 45 + 523 + 9 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38515826156544 + 75036619367424 = 6206112^2 + 8662368^2 .

It is not an unprimeable number, because it can be changed into a prime (113552445523961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2651771998 + ... + 2651814818.

Almost surely, 2^{113552445523968} is an apocalyptic number.

113552445523968 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 113552445523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191010128154300).

113552445523968 is an abundant number, since it is smaller than the sum of its proper divisors (268467810784632).

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

113552445523968 is a wasteful number, since it uses less digits than its factorization.

113552445523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42941 (or 42907 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 63.

The spelling of 113552445523968 in words is "one hundred thirteen trillion, five hundred fifty-two billion, four hundred forty-five million, five hundred twenty-three thousand, nine hundred sixty-eight".