113881951296 has 315 divisors, whose sum is σ = 348814964421. Its totient is φ = 36737680896.

The previous prime is 113881951289. The next prime is 113881951307. The reversal of 113881951296 is 692159188311.

It is a happy number.

The square root of 113881951296 is 337464.

It is a perfect power (a square), and thus also a powerful number.

113881951296 is a `hidden beast` number, since 1 + 1 + 38 + 8 + 1 + 9 + 512 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79375173696 + 34506777600 = 281736^2 + 185760^2 .

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 44 ways as a sum of consecutive naturals, for example, 1044788490 + ... + 1044788598.

Almost surely, 2^113881951296 is an apocalyptic number.

113881951296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113881951296 is the 337464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113881951296

113881951296 is an abundant number, since it is smaller than the sum of its proper divisors (234933013125).

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

113881951296 is an frugal number, since it uses more digits than its factorization.

113881951296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 157 counting only the distinct ones).

The product of its digits is 933120, while the sum is 54.

The spelling of 113881951296 in words is "one hundred thirteen billion, eight hundred eighty-one million, nine hundred fifty-one thousand, two hundred ninety-six".