113211230774400 has 1152 divisors, whose sum is σ = 482201071531200. Its totient is φ = 25830685900800.

The previous prime is 113211230774381. The next prime is 113211230774419. The reversal of 113211230774400 is 4477032112311.

113211230774400 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 11 + 230 + 7 + 7 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (113211230774381) and next prime (113211230774419).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 177406299 + ... + 178043301.

Almost surely, 2^{113211230774400} is an apocalyptic number.

113211230774400 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 113211230774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241100535765600).

113211230774400 is an abundant number, since it is smaller than the sum of its proper divisors (368989840756800).

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

113211230774400 is a wasteful number, since it uses less digits than its factorization.

113211230774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637075 (or 637041 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 113211230774400 its reverse (4477032112311), we get a palindrome (117688262886711).

The spelling of 113211230774400 in words is "one hundred thirteen trillion, two hundred eleven billion, two hundred thirty million, seven hundred seventy-four thousand, four hundred".