114402238033968 has 320 divisors, whose sum is σ = 340949656396800. Its totient is φ = 36683794667520.

The previous prime is 114402238033931. The next prime is 114402238033973. The reversal of 114402238033968 is 869330832204411.

114402238033968 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 223 + 80 + 339 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9924713421 + ... + 9924724947.

It is an arithmetic number, because the mean of its divisors is an integer number (1065467676240).

Almost surely, 2^{114402238033968} is an apocalyptic number.

114402238033968 is a gapful number since it is divisible by the number (18) 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 114402238033968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170474828198400).

114402238033968 is an abundant number, since it is smaller than the sum of its proper divisors (226547418362832).

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

114402238033968 is a wasteful number, since it uses less digits than its factorization.

114402238033968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14417 (or 14405 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 114402238033968 in words is "one hundred fourteen trillion, four hundred two billion, two hundred thirty-eight million, thirty-three thousand, nine hundred sixty-eight".