112259842704 has 225 divisors, whose sum is σ = 334504093561. Its totient is φ = 36346440960.

The previous prime is 112259842699. The next prime is 112259842753. The reversal of 112259842704 is 407248952211.

The square root of 112259842704 is 335052.

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

112259842704 is a `hidden beast` number, since 1 + 12 + 2 + 598 + 42 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5409308304 + 106850534400 = 73548^2 + 326880^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112259842704.

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, 494536639 + ... + 494536865.

Almost surely, 2^112259842704 is an apocalyptic number.

112259842704 is the 335052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112259842704

112259842704 is an abundant number, since it is smaller than the sum of its proper divisors (222244250857).

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

112259842704 is an frugal number, since it uses more digits than its factorization.

112259842704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 112259842704 in words is "one hundred twelve billion, two hundred fifty-nine million, eight hundred forty-two thousand, seven hundred four".