114938115246720 has 1536 divisors, whose sum is σ = 427171362508800. Its totient is φ = 29515662213120.

The previous prime is 114938115246709. The next prime is 114938115246737. The reversal of 114938115246720 is 27642511839411.

114938115246720 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 3 + 8 + 1 + 152 + 467 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 139997703910 + ... + 139997704730.

It is an arithmetic number, because the mean of its divisors is an integer number (278106355800).

It is a 1-persistent number, because it is pandigital, but 2⋅114938115246720 = 229876230493440 is not.

Almost surely, 2^{114938115246720} is an apocalyptic number.

114938115246720 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 114938115246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213585681254400).

114938115246720 is an abundant number, since it is smaller than the sum of its proper divisors (312233247262080).

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

114938115246720 is a wasteful number, since it uses less digits than its factorization.

114938115246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 114938115246720 in words is "one hundred fourteen trillion, nine hundred thirty-eight billion, one hundred fifteen million, two hundred forty-six thousand, seven hundred twenty".