113962567680 has 864 divisors, whose sum is σ = 445170660480. Its totient is φ = 27948810240.

The previous prime is 113962567679. The next prime is 113962567703. The reversal of 113962567680 is 86765269311.

113962567680 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 625 + 6 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 420525945 + ... + 420526215.

It is an arithmetic number, because the mean of its divisors is an integer number (515243820).

Almost surely, 2^113962567680 is an apocalyptic number.

113962567680 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 113962567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222585330240).

113962567680 is an abundant number, since it is smaller than the sum of its proper divisors (331208092800).

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

113962567680 is an equidigital number, since it uses as much as digits as its factorization.

113962567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 113962567680 in words is "one hundred thirteen billion, nine hundred sixty-two million, five hundred sixty-seven thousand, six hundred eighty".