114154614909360 has 240 divisors, whose sum is σ = 399366612353280. Its totient is φ = 29188986439680.

The previous prime is 114154614909341. The next prime is 114154614909383. The reversal of 114154614909360 is 63909416451411.

It is a happy number.

114154614909360 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 5 + 4 + 6 + 1 + 490 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×114154614909360² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114154614909297 and 114154614909306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21027919 + ... + 25893678.

It is an arithmetic number, because the mean of its divisors is an integer number (1664027551472).

Almost surely, 2^{114154614909360} is an apocalyptic number.

114154614909360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114154614909360 is an abundant number, since it is smaller than the sum of its proper divisors (285211997443920).

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

114154614909360 is a wasteful number, since it uses less digits than its factorization.

114154614909360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46921756 (or 46921747 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 114154614909360 in words is "one hundred fourteen trillion, one hundred fifty-four billion, six hundred fourteen million, nine hundred nine thousand, three hundred sixty".