114398964016128 has 1056 divisors, whose sum is σ = 395598700224000. Its totient is φ = 32655676538880.

The previous prime is 114398964016097. The next prime is 114398964016153. The reversal of 114398964016128 is 821610469893411.

114398964016128 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 9 + 8 + 9 + 6 + 4 + 0 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×114398964016128² (a number of 29 digits) contains 22 as substring.

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, 9309047808 + ... + 9309060096.

Almost surely, 2^{114398964016128} is an apocalyptic number.

114398964016128 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 114398964016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197799350112000).

114398964016128 is an abundant number, since it is smaller than the sum of its proper divisors (281199736207872).

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

114398964016128 is a wasteful number, since it uses less digits than its factorization.

114398964016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 114398964016128 in words is "one hundred fourteen trillion, three hundred ninety-eight billion, nine hundred sixty-four million, sixteen thousand, one hundred twenty-eight".