114486564304 has 120 divisors (see below), whose sum is σ = 260120536488. Its totient is φ = 48670110720.

The previous prime is 114486564281. The next prime is 114486564347. The reversal of 114486564304 is 403465684411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66849136704 + 47637427600 = 258552^2 + 218260^2 .

It is a super-2 number, since 2×114486564304² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89652114 + ... + 89653390.

Almost surely, 2^114486564304 is an apocalyptic number.

114486564304 is a gapful number since it is divisible by the number (14) 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 114486564304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130060268244).

114486564304 is an abundant number, since it is smaller than the sum of its proper divisors (145633972184).

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

114486564304 is a wasteful number, since it uses less digits than its factorization.

114486564304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 114486564304 in words is "one hundred fourteen billion, four hundred eighty-six million, five hundred sixty-four thousand, three hundred four".