115344461376 has 315 divisors, whose sum is σ = 352449720931. Its totient is φ = 37298866176.

The previous prime is 115344461369. The next prime is 115344461381. The reversal of 115344461376 is 673164443511.

The square root of 115344461376 is 339624.

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

115344461376 is a `hidden beast` number, since 1 + 1 + 534 + 4 + 46 + 1 + 3 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1219406400 + 114125054976 = 34920^2 + 337824^2 .

It is a Duffinian number.

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, 1296005140 + ... + 1296005228.

Almost surely, 2^115344461376 is an apocalyptic number.

115344461376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115344461376 is the 339624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115344461376

115344461376 is an abundant number, since it is smaller than the sum of its proper divisors (237105259555).

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

115344461376 is an frugal number, since it uses more digits than its factorization.

115344461376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 147 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

It can be divided in two parts, 115344 and 461376, that multiplied together give a square (53216953344 = 230688²).

The spelling of 115344461376 in words is "one hundred fifteen billion, three hundred forty-four million, four hundred sixty-one thousand, three hundred seventy-six".