113854904352 has 288 divisors, whose sum is σ = 377902167552. Its totient is φ = 31844524032.

The previous prime is 113854904351. The next prime is 113854904357. The reversal of 113854904352 is 253409458311.

113854904352 is a `hidden beast` number, since 1 + 13 + 8 + 549 + 0 + 43 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113854904298 and 113854904307.

It is not an unprimeable number, because it can be changed into a prime (113854904351) 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, 20159193 + ... + 20164839.

It is an arithmetic number, because the mean of its divisors is an integer number (1312160304).

Almost surely, 2^113854904352 is an apocalyptic number.

113854904352 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 113854904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188951083776).

113854904352 is an abundant number, since it is smaller than the sum of its proper divisors (264047263200).

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

113854904352 is a wasteful number, since it uses less digits than its factorization.

113854904352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 113854904352 in words is "one hundred thirteen billion, eight hundred fifty-four million, nine hundred four thousand, three hundred fifty-two".