114057416385 has 128 divisors (see below), whose sum is σ = 233321472000. Its totient is φ = 52282713600.

The previous prime is 114057416383. The next prime is 114057416387. The reversal of 114057416385 is 583614750411.

114057416385 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 7 + 4 + 1 + 638 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (114057416383) and next prime (114057416387).

It is not a de Polignac number, because 114057416385 - 2¹ = 114057416383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 114057416385.

It is not an unprimeable number, because it can be changed into a prime (114057416381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14696136 + ... + 14703894.

It is an arithmetic number, because the mean of its divisors is an integer number (1822824000).

Almost surely, 2^114057416385 is an apocalyptic number.

114057416385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114057416385 is an abundant number, since it is smaller than the sum of its proper divisors (119264055615).

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

114057416385 is a wasteful number, since it uses less digits than its factorization.

114057416385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 114057416385 in words is "one hundred fourteen billion, fifty-seven million, four hundred sixteen thousand, three hundred eighty-five".