112971276544 has 81 divisors (see below), whose sum is σ = 262405230381. Its totient is φ = 48400128000.

The previous prime is 112971276529. The next prime is 112971276623. The reversal of 112971276544 is 445672179211.

The square root of 112971276544 is 336112.

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., 60768166144 + 52203110400 = 246512^2 + 228480^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37643044 + ... + 37646044.

Almost surely, 2^112971276544 is an apocalyptic number.

112971276544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

112971276544 is the 336112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112971276544

112971276544 is an abundant number, since it is smaller than the sum of its proper divisors (149433953837).

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

112971276544 is an frugal number, since it uses more digits than its factorization.

112971276544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 3010 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

Multiplying 112971276544 by its sum of digits (49), we get a square (5535592550656 = 2352784²).

112971276544 divided by its sum of digits (49) gives a square (2305536256 = 48016²).

The spelling of 112971276544 in words is "one hundred twelve billion, nine hundred seventy-one million, two hundred seventy-six thousand, five hundred forty-four".