113554535100552 has 576 divisors, whose sum is σ = 407114600256000. Its totient is φ = 28283709662208.

The previous prime is 113554535100551. The next prime is 113554535100583. The reversal of 113554535100552 is 255001535455311.

113554535100552 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 4 + 535 + 100 + 5 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113554535100498 and 113554535100507.

It is not an unprimeable number, because it can be changed into a prime (113554535100551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82653574 + ... + 84016202.

It is an arithmetic number, because the mean of its divisors is an integer number (706796181000).

Almost surely, 2^{113554535100552} is an apocalyptic number.

113554535100552 is a gapful number since it is divisible by the number (12) 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 113554535100552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203557300128000).

113554535100552 is an abundant number, since it is smaller than the sum of its proper divisors (293560065155448).

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

113554535100552 is a wasteful number, since it uses less digits than its factorization.

113554535100552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362770 (or 1362756 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 45.

The spelling of 113554535100552 in words is "one hundred thirteen trillion, five hundred fifty-four billion, five hundred thirty-five million, one hundred thousand, five hundred fifty-two".