114650672400 has 1200 divisors, whose sum is σ = 482240563200. Its totient is φ = 25778995200.

The previous prime is 114650672399. The next prime is 114650672419. The reversal of 114650672400 is 4276056411.

114650672400 is a `hidden beast` number, since 1 + 1 + 46 + 506 + 72 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 769467526 + ... + 769467674.

It is an arithmetic number, because the mean of its divisors is an integer number (401867136).

Almost surely, 2^114650672400 is an apocalyptic number.

114650672400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114650672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241120281600).

114650672400 is an abundant number, since it is smaller than the sum of its proper divisors (367589890800).

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

114650672400 is a wasteful number, since it uses less digits than its factorization.

114650672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 114650672400 in words is "one hundred fourteen billion, six hundred fifty million, six hundred seventy-two thousand, four hundred".