114257370718920 has 384 divisors, whose sum is σ = 410612942822400. Its totient is φ = 25207965619200.

The previous prime is 114257370718913. The next prime is 114257370718951. The reversal of 114257370718920 is 29817073752411.

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, 12231771 + ... + 19445589.

It is an arithmetic number, because the mean of its divisors is an integer number (1069304538600).

Almost surely, 2^{114257370718920} is an apocalyptic number.

114257370718920 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 114257370718920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205306471411200).

114257370718920 is an abundant number, since it is smaller than the sum of its proper divisors (296355572103480).

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

114257370718920 is a wasteful number, since it uses less digits than its factorization.

114257370718920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213941 (or 7213924 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 57.

The spelling of 114257370718920 in words is "one hundred fourteen trillion, two hundred fifty-seven billion, three hundred seventy million, seven hundred eighteen thousand, nine hundred twenty".