114808490118432 has 576 divisors, whose sum is σ = 362678677949952. Its totient is φ = 34160071680000.

The previous prime is 114808490118379. The next prime is 114808490118449. The reversal of 114808490118432 is 234811094808411.

It is a happy number.

114808490118432 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 0 + 8 + 4 + 90 + 118 + 432 = 666.

It is a super-2 number, since 2×114808490118432² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66632901123 + ... + 66632902845.

It is an arithmetic number, because the mean of its divisors is an integer number (629650482552).

Almost surely, 2^{114808490118432} is an apocalyptic number.

114808490118432 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 114808490118432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181339338974976).

114808490118432 is an abundant number, since it is smaller than the sum of its proper divisors (247870187831520).

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

114808490118432 is a wasteful number, since it uses less digits than its factorization.

114808490118432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 114808490118432 in words is "one hundred fourteen trillion, eight hundred eight billion, four hundred ninety million, one hundred eighteen thousand, four hundred thirty-two".