114665460480 has 216 divisors, whose sum is σ = 397036060512. Its totient is φ = 30553915392.

The previous prime is 114665460457. The next prime is 114665460491. The reversal of 114665460480 is 84064566411.

114665460480 is a `hidden beast` number, since 1 + 1 + 4 + 66 + 54 + 60 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19085637 + ... + 19091643.

Almost surely, 2^114665460480 is an apocalyptic number.

114665460480 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 114665460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198518030256).

114665460480 is an abundant number, since it is smaller than the sum of its proper divisors (282370600032).

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

114665460480 is a wasteful number, since it uses less digits than its factorization.

114665460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 114665460480 in words is "one hundred fourteen billion, six hundred sixty-five million, four hundred sixty thousand, four hundred eighty".