114055956928464 has 160 divisors (see below), whose sum is σ = 305800475136000. Its totient is φ = 36587852969472.

The previous prime is 114055956928423. The next prime is 114055956928477. The reversal of 114055956928464 is 464829659550411.

It is a super-2 number, since 2×114055956928464² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959854047 + ... + 959972865.

It is an arithmetic number, because the mean of its divisors is an integer number (1911252969600).

Almost surely, 2^{114055956928464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114055956928464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152900237568000).

114055956928464 is an abundant number, since it is smaller than the sum of its proper divisors (191744518207536).

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

114055956928464 is a wasteful number, since it uses less digits than its factorization.

114055956928464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121105 (or 121099 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 69.

The spelling of 114055956928464 in words is "one hundred fourteen trillion, fifty-five billion, nine hundred fifty-six million, nine hundred twenty-eight thousand, four hundred sixty-four".