114578316072 has 576 divisors, whose sum is σ = 384817305600. Its totient is φ = 31793731200.

The previous prime is 114578316019. The next prime is 114578316077. The reversal of 114578316072 is 270613875411.

114578316072 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 7 + 8 + 31 + 607 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (114578316077) 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 143 ways as a sum of consecutive naturals, for example, 138546523 + ... + 138547349.

It is an arithmetic number, because the mean of its divisors is an integer number (668085600).

Almost surely, 2^114578316072 is an apocalyptic number.

114578316072 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 114578316072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192408652800).

114578316072 is an abundant number, since it is smaller than the sum of its proper divisors (270238989528).

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

114578316072 is a wasteful number, since it uses less digits than its factorization.

114578316072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 114578316072 in words is "one hundred fourteen billion, five hundred seventy-eight million, three hundred sixteen thousand, seventy-two".