114052514154120 has 192 divisors, whose sum is σ = 375340077590400. Its totient is φ = 30031793003520.

The previous prime is 114052514154043. The next prime is 114052514154151. The reversal of 114052514154120 is 21451415250411.

114052514154120 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 2 + 51 + 41 + 541 + 20 = 666.

It is a super-2 number, since 2×114052514154120² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 21410235 + ... + 26201205.

It is an arithmetic number, because the mean of its divisors is an integer number (1954896237450).

Almost surely, 2^{114052514154120} is an apocalyptic number.

114052514154120 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 114052514154120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187670038795200).

114052514154120 is an abundant number, since it is smaller than the sum of its proper divisors (261287563436280).

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

114052514154120 is a wasteful number, since it uses less digits than its factorization.

114052514154120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4791820 (or 4791813 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 114052514154120 in words is "one hundred fourteen trillion, fifty-two billion, five hundred fourteen million, one hundred fifty-four thousand, one hundred twenty".