114820155648000 has 1728 divisors, whose sum is σ = 467680050452160. Its totient is φ = 26870366208000.

The previous prime is 114820155647993. The next prime is 114820155648031. The reversal of 114820155648000 is 846551028411.

114820155648000 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 2 + 0 + 1 + 5 + 564 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21314301307 + ... + 21314306693.

It is an arithmetic number, because the mean of its divisors is an integer number (270648177345).

Almost surely, 2^{114820155648000} is an apocalyptic number.

114820155648000 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 114820155648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233840025226080).

114820155648000 is an abundant number, since it is smaller than the sum of its proper divisors (352859894804160).

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

114820155648000 is a wasteful number, since it uses less digits than its factorization.

114820155648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 114820155648000 in words is "one hundred fourteen trillion, eight hundred twenty billion, one hundred fifty-five million, six hundred forty-eight thousand".