114589077408 has 120 divisors (see below), whose sum is σ = 362926730628. Its totient is φ = 35258167296.

The previous prime is 114589077401. The next prime is 114589077409. The reversal of 114589077408 is 804770985411.

114589077408 is a `hidden beast` number, since 1 + 14 + 589 + 0 + 7 + 7 + 40 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114587666064 + 1411344 = 338508^2 + 1188^2 .

It is a super-2 number, since 2×114589077408² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (114589077401) 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 19 ways as a sum of consecutive naturals, for example, 1666641 + ... + 1734032.

Almost surely, 2^114589077408 is an apocalyptic number.

114589077408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114589077408 is an abundant number, since it is smaller than the sum of its proper divisors (248337653220).

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

114589077408 is a wasteful number, since it uses less digits than its factorization.

114589077408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400708 (or 3400691 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 114589077408 in words is "one hundred fourteen billion, five hundred eighty-nine million, seventy-seven thousand, four hundred eight".