112965898816 has 21 divisors (see below), whose sum is σ = 224172041241. Its totient is φ = 56481604992.

The previous prime is 112965898789. The next prime is 112965898823. The reversal of 112965898816 is 618898569211.

The square root of 112965898816 is 336104.

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

It can be written as a sum of positive squares in only one way, i.e., 84774145600 + 28191753216 = 291160^2 + 167904^2 .

It is a super-2 number, since 2×112965898816² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2667826 + ... + 2709838.

Almost surely, 2^112965898816 is an apocalyptic number.

112965898816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112965898816 is the 336104-th square number.

It is an amenable number.

112965898816 is a deficient number, since it is larger than the sum of its proper divisors (111206142425).

112965898816 is an frugal number, since it uses more digits than its factorization.

112965898816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84038 (or 42015 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 64.

Multiplying 112965898816 by its sum of digits (64), we get a square (7229817524224 = 2688832²).

112965898816 divided by its sum of digits (64) gives a square (1765092169 = 42013²).

The spelling of 112965898816 in words is "one hundred twelve billion, nine hundred sixty-five million, eight hundred ninety-eight thousand, eight hundred sixteen".