114671531520 has 1600 divisors, whose sum is σ = 519056778240. Its totient is φ = 23553441792.

The previous prime is 114671531483. The next prime is 114671531539. The reversal of 114671531520 is 25135176411.

114671531520 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 71 + 531 + 52 + 0 = 666.

It is a super-2 number, since 2×114671531520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1113315789 + ... + 1113315891.

Almost surely, 2^114671531520 is an apocalyptic number.

114671531520 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 114671531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259528389120).

114671531520 is an abundant number, since it is smaller than the sum of its proper divisors (404385246720).

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

114671531520 is a wasteful number, since it uses less digits than its factorization.

114671531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 114671531520 in words is "one hundred fourteen billion, six hundred seventy-one million, five hundred thirty-one thousand, five hundred twenty".