114636416400 has 1215 divisors, whose sum is σ = 479224746273. Its totient is φ = 26327980800.

The previous prime is 114636416359. The next prime is 114636416417. The reversal of 114636416400 is 4614636411.

The square root of 114636416400 is 338580.

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

114636416400 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 3 + 6 + 4 + 1 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41269109904 + 73367306496 = 203148^2 + 270864^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6033495591 + ... + 6033495609.

Almost surely, 2^114636416400 is an apocalyptic number.

114636416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114636416400 is the 338580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114636416400

114636416400 is an abundant number, since it is smaller than the sum of its proper divisors (364588329873).

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

114636416400 is an equidigital number, since it uses as much as digits as its factorization.

114636416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 114636416400 by its sum of digits (36), we get a square (4126910990400 = 2031480²).

114636416400 divided by its sum of digits (36) gives a square (3184344900 = 56430²).

The spelling of 114636416400 in words is "one hundred fourteen billion, six hundred thirty-six million, four hundred sixteen thousand, four hundred".