112934260454400 has 3168 divisors, whose sum is σ = 528959560671360. Its totient is φ = 23348183040000.

The previous prime is 112934260454399. The next prime is 112934260454443. The reversal of 112934260454400 is 4454062439211.

112934260454400 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 3 + 42 + 60 + 4 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-3 number, since 3×112934260454400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86805733750 + ... + 86805735050.

Almost surely, 2^{112934260454400} is an apocalyptic number.

112934260454400 is a gapful number since it is divisible by the number (10) 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 112934260454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264479780335680).

112934260454400 is an abundant number, since it is smaller than the sum of its proper divisors (416025300216960).

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

112934260454400 is a wasteful number, since it uses less digits than its factorization.

112934260454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 112934260454400 in words is "one hundred twelve trillion, nine hundred thirty-four billion, two hundred sixty million, four hundred fifty-four thousand, four hundred".