114027782400 has 1215 divisors, whose sum is σ = 497876752989. Its totient is φ = 25674485760.

The previous prime is 114027782357. The next prime is 114027782411. The reversal of 114027782400 is 4287720411.

The square root of 114027782400 is 337680.

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

114027782400 is a `hidden beast` number, since 1 + 1 + 402 + 7 + 7 + 8 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41050001664 + 72977780736 = 202608^2 + 270144^2 .

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 134 ways as a sum of consecutive naturals, for example, 1701907167 + ... + 1701907233.

Almost surely, 2^114027782400 is an apocalyptic number.

114027782400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114027782400 is the 337680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114027782400

114027782400 is an abundant number, since it is smaller than the sum of its proper divisors (383848970589).

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

114027782400 is an frugal number, since it uses more digits than its factorization.

114027782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Multiplying 114027782400 by its sum of digits (36), we get a square (4105000166400 = 2026080²).

114027782400 divided by its sum of digits (36) gives a square (3167438400 = 56280²).

The spelling of 114027782400 in words is "one hundred fourteen billion, twenty-seven million, seven hundred eighty-two thousand, four hundred".