114516314514432 has 1760 divisors, whose sum is σ = 376899561561600. Its totient is φ = 34518070591488.

The previous prime is 114516314514431. The next prime is 114516314514619. The reversal of 114516314514432 is 234415413615411.

114516314514432 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 63 + 145 + 1 + 443 + 2 = 666.

It is a super-2 number, since 2×114516314514432² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114516314514431) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 639755946919 + ... + 639755947097.

It is an arithmetic number, because the mean of its divisors is an integer number (214147478160).

Almost surely, 2^{114516314514432} is an apocalyptic number.

114516314514432 is a gapful number since it is divisible by the number (12) 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 114516314514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188449780780800).

114516314514432 is an abundant number, since it is smaller than the sum of its proper divisors (262383247047168).

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

114516314514432 is a wasteful number, since it uses less digits than its factorization.

114516314514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 426 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 114516314514432 in words is "one hundred fourteen trillion, five hundred sixteen billion, three hundred fourteen million, five hundred fourteen thousand, four hundred thirty-two".