114604452720 has 640 divisors, whose sum is σ = 420964128000. Its totient is φ = 28612362240.

The previous prime is 114604452701. The next prime is 114604452763. The reversal of 114604452720 is 27254406411.

114604452720 is a `hidden beast` number, since 1 + 1 + 4 + 604 + 4 + 5 + 27 + 20 = 666.

114604452720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340072392 + ... + 340072728.

It is an arithmetic number, because the mean of its divisors is an integer number (657756450).

Almost surely, 2^114604452720 is an apocalyptic number.

114604452720 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 114604452720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210482064000).

114604452720 is an abundant number, since it is smaller than the sum of its proper divisors (306359675280).

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

114604452720 is a wasteful number, since it uses less digits than its factorization.

114604452720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 114604452720 in words is "one hundred fourteen billion, six hundred four million, four hundred fifty-two thousand, seven hundred twenty".