113968318464 has 1536 divisors, whose sum is σ = 475517952000. Its totient is φ = 26011238400.

The previous prime is 113968318447. The next prime is 113968318537. The reversal of 113968318464 is 464813869311.

113968318464 is a `hidden beast` number, since 1 + 1 + 3 + 96 + 83 + 18 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×113968318464³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2985984) is a multiple of the sum of its prime factors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 113968318464.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1605187549 + ... + 1605187619.

It is an arithmetic number, because the mean of its divisors is an integer number (309582000).

Almost surely, 2^113968318464 is an apocalyptic number.

113968318464 is a gapful number since it is divisible by the number (14) 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 113968318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976000).

113968318464 is an abundant number, since it is smaller than the sum of its proper divisors (361549633536).

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

113968318464 is a wasteful number, since it uses less digits than its factorization.

113968318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 113968318464 in words is "one hundred thirteen billion, nine hundred sixty-eight million, three hundred eighteen thousand, four hundred sixty-four".