114628935680 has 480 divisors, whose sum is σ = 333499904640. Its totient is φ = 36993761280.

The previous prime is 114628935661. The next prime is 114628935713. The reversal of 114628935680 is 86539826411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014415304 + ... + 1014415416.

It is an arithmetic number, because the mean of its divisors is an integer number (694791468).

Almost surely, 2^114628935680 is an apocalyptic number.

114628935680 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 114628935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166749952320).

114628935680 is an abundant number, since it is smaller than the sum of its proper divisors (218870968960).

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

114628935680 is an equidigital number, since it uses as much as digits as its factorization.

114628935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 114628935680 in words is "one hundred fourteen billion, six hundred twenty-eight million, nine hundred thirty-five thousand, six hundred eighty".