114624078480 has 100 divisors (see below), whose sum is σ = 398106428412. Its totient is φ = 30566419200.

The previous prime is 114624078463. The next prime is 114624078523. The reversal of 114624078480 is 84870426411.

114624078480 is a `hidden beast` number, since 1 + 1 + 4 + 62 + 40 + 78 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49513370256 + 65110708224 = 222516^2 + 255168^2 .

It is a super-2 number, since 2×114624078480² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8837971 + ... + 8850930.

Almost surely, 2^114624078480 is an apocalyptic number.

114624078480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114624078480 is an abundant number, since it is smaller than the sum of its proper divisors (283482349932).

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

114624078480 is a wasteful number, since it uses less digits than its factorization.

114624078480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17688926 (or 17688911 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 114624078480 in words is "one hundred fourteen billion, six hundred twenty-four million, seventy-eight thousand, four hundred eighty".