113414511352000 has 112 divisors (see below), whose sum is σ = 295653723936480. Its totient is φ = 42978130560000.

The previous prime is 113414511351983. The next prime is 113414511352013. The reversal of 113414511352000 is 253115414311.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 372922051 + ... + 373226050.

It is an arithmetic number, because the mean of its divisors is an integer number (2639765392290).

Almost surely, 2^{113414511352000} is an apocalyptic number.

113414511352000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113414511352000 is an abundant number, since it is smaller than the sum of its proper divisors (182239212584480).

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

113414511352000 is an equidigital number, since it uses as much as digits as its factorization.

113414511352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746148147 (or 746148127 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 113414511352000 its reverse (253115414311), we get a palindrome (113667626766311).

The spelling of 113414511352000 in words is "one hundred thirteen trillion, four hundred fourteen billion, five hundred eleven million, three hundred fifty-two thousand".