115654406400 has 729 divisors, whose sum is σ = 451889696349. Its totient is φ = 28207595520.

The previous prime is 115654406381. The next prime is 115654406407. The reversal of 115654406400 is 4604456511.

The square root of 115654406400 is 340080.

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

115654406400 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 5 + 4 + 4 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 93283819776 + 22370586624 = 305424^2 + 149568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115654406407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1061049546 + ... + 1061049654.

Almost surely, 2^115654406400 is an apocalyptic number.

115654406400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115654406400 is the 340080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115654406400

115654406400 is an abundant number, since it is smaller than the sum of its proper divisors (336235289949).

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

115654406400 is a wasteful number, since it uses less digits than its factorization.

115654406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 115654406400 by its sum of digits (36), we get a square (4163558630400 = 2040480²).

115654406400 divided by its sum of digits (36) gives a square (3212622400 = 56680²).

115654406400 divided by its product of nonzero digits (57600) gives a square (2007889 = 1417²).

The spelling of 115654406400 in words is "one hundred fifteen billion, six hundred fifty-four million, four hundred six thousand, four hundred".