114315362700 has 288 divisors, whose sum is σ = 436625054208. Its totient is φ = 22356480000.

The previous prime is 114315362687. The next prime is 114315362731. The reversal of 114315362700 is 7263513411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247150 + ... + 538250.

It is an arithmetic number, because the mean of its divisors is an integer number (1516059216).

Almost surely, 2^114315362700 is an apocalyptic number.

114315362700 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 114315362700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218312527104).

114315362700 is an abundant number, since it is smaller than the sum of its proper divisors (322309691508).

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

114315362700 is a wasteful number, since it uses less digits than its factorization.

114315362700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291153 (or 291146 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 114315362700 in words is "one hundred fourteen billion, three hundred fifteen million, three hundred sixty-two thousand, seven hundred".