114515139480000 has 560 divisors, whose sum is σ = 432776146302720. Its totient is φ = 26170371072000.

The previous prime is 114515139479957. The next prime is 114515139480017. The reversal of 114515139480000 is 84931515411.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×114515139480000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8662913391 + ... + 8662926609.

Almost surely, 2^{114515139480000} is an apocalyptic number.

114515139480000 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 114515139480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216388073151360).

114515139480000 is an abundant number, since it is smaller than the sum of its proper divisors (318261006822720).

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

114515139480000 is a wasteful number, since it uses less digits than its factorization.

114515139480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23574 (or 23549 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 114515139480000 in words is "one hundred fourteen trillion, five hundred fifteen billion, one hundred thirty-nine million, four hundred eighty thousand".