114061130556264 has 48 divisors (see below), whose sum is σ = 308916196742400. Its totient is φ = 38020298720544.

The previous prime is 114061130556203. The next prime is 114061130556287. The reversal of 114061130556264 is 462655031160411.

114061130556264 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 6 + 1 + 1 + 30 + 556 + 2 + 64 = 666.

It is a super-2 number, since 2×114061130556264² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41551737 + ... + 44211639.

It is an arithmetic number, because the mean of its divisors is an integer number (6435754098800).

Almost surely, 2^{114061130556264} is an apocalyptic number.

It is an amenable number.

114061130556264 is an abundant number, since it is smaller than the sum of its proper divisors (194855066186136).

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

114061130556264 is a wasteful number, since it uses less digits than its factorization.

114061130556264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255494 (or 3255487 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 114061130556264 in words is "one hundred fourteen trillion, sixty-one billion, one hundred thirty million, five hundred fifty-six thousand, two hundred sixty-four".