114931466900 has 72 divisors (see below), whose sum is σ = 260330837760. Its totient is φ = 43959245440.

The previous prime is 114931466791. The next prime is 114931466917. The reversal of 114931466900 is 9664139411.

It is a super-2 number, since 2×114931466900² (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, 9168437 + ... + 9180963.

It is an arithmetic number, because the mean of its divisors is an integer number (3615706080).

Almost surely, 2^114931466900 is an apocalyptic number.

114931466900 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 114931466900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130165418880).

114931466900 is an abundant number, since it is smaller than the sum of its proper divisors (145399370860).

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

114931466900 is a wasteful number, since it uses less digits than its factorization.

114931466900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16553 (or 16546 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 114931466900 in words is "one hundred fourteen billion, nine hundred thirty-one million, four hundred sixty-six thousand, nine hundred".