114750517660416 has 504 divisors, whose sum is σ = 375996638044944. Its totient is φ = 34647178567680.

The previous prime is 114750517660397. The next prime is 114750517660447. The reversal of 114750517660416 is 614066715057411.

114750517660416 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 5 + 0 + 5 + 17 + 6 + 604 + 16 = 666.

It is a super-4 number, since 4×114750517660416⁴ (a number of 57 digits) contains 4444 as substring.

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 55 ways as a sum of consecutive naturals, for example, 568542430 + ... + 568744226.

It is an arithmetic number, because the mean of its divisors is an integer number (746025075486).

Almost surely, 2^{114750517660416} is an apocalyptic number.

114750517660416 is a gapful number since it is divisible by the number (16) 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 114750517660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187998319022472).

114750517660416 is an abundant number, since it is smaller than the sum of its proper divisors (261246120384528).

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

114750517660416 is an equidigital number, since it uses as much as digits as its factorization.

114750517660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202119 (or 202090 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 114750517660416 in words is "one hundred fourteen trillion, seven hundred fifty billion, five hundred seventeen million, six hundred sixty thousand, four hundred sixteen".