114880199196672 has 2448 divisors, whose sum is σ = 436804505100288. Its totient is φ = 28442917601280.

The previous prime is 114880199196661. The next prime is 114880199196727. The reversal of 114880199196672 is 276691991088411.

114880199196672 is a `hidden beast` number, since 1 + 1 + 488 + 0 + 1 + 9 + 9 + 19 + 66 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 114880199196672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1016638930888 + ... + 1016638931000.

Almost surely, 2^{114880199196672} is an apocalyptic number.

114880199196672 is a gapful number since it is divisible by the number (12) 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 114880199196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218402252550144).

114880199196672 is an abundant number, since it is smaller than the sum of its proper divisors (321924305903616).

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

114880199196672 is a wasteful number, since it uses less digits than its factorization.

114880199196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 72.

The spelling of 114880199196672 in words is "one hundred fourteen trillion, eight hundred eighty billion, one hundred ninety-nine million, one hundred ninety-six thousand, six hundred seventy-two".