114917562240768 has 432 divisors, whose sum is σ = 383933173478400. Its totient is φ = 32378193469440.

The previous prime is 114917562240727. The next prime is 114917562240787. The reversal of 114917562240768 is 867042265719411.

It is a happy number.

114917562240768 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 1 + 7 + 562 + 2 + 4 + 0 + 7 + 68 = 666.

It is a super-2 number, since 2×114917562240768² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045991023 + ... + 1046100881.

Almost surely, 2^{114917562240768} is an apocalyptic number.

114917562240768 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 114917562240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191966586739200).

114917562240768 is an abundant number, since it is smaller than the sum of its proper divisors (269015611237632).

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

114917562240768 is a wasteful number, since it uses less digits than its factorization.

114917562240768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110788 (or 110771 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 114917562240768 in words is "one hundred fourteen trillion, nine hundred seventeen billion, five hundred sixty-two million, two hundred forty thousand, seven hundred sixty-eight".