112293780959376 has 45 divisors (see below), whose sum is σ = 314266978980409. Its totient is φ = 37431217932288.

The previous prime is 112293780959299. The next prime is 112293780959377. The reversal of 112293780959376 is 673959087392211.

The square root of 112293780959376 is 10596876.

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

112293780959376 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 93 + 7 + 80 + 95 + 9 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27325501664400 + 84968279294976 = 5227380^2 + 9217824^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112293780959377) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 126720976 + ... + 127604048.

Almost surely, 2^{112293780959376} is an apocalyptic number.

112293780959376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112293780959376 is the 10596876-th square number.

It is an amenable number.

112293780959376 is an abundant number, since it is smaller than the sum of its proper divisors (201973198021033).

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

112293780959376 is an frugal number, since it uses more digits than its factorization.

112293780959376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766160 (or 883078 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 112293780959376 in words is "one hundred twelve trillion, two hundred ninety-three billion, seven hundred eighty million, nine hundred fifty-nine thousand, three hundred seventy-six".