145631499264 has 220 divisors, whose sum is σ = 442269907200. Its totient is φ = 47719452672.

The previous prime is 145631499227. The next prime is 145631499347. The reversal of 145631499264 is 462994136541.

145631499264 is a `hidden beast` number, since 1 + 4 + 563 + 14 + 9 + 9 + 2 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145631499264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4878817 + ... + 4908575.

It is an arithmetic number, because the mean of its divisors is an integer number (2010317760).

Almost surely, 2^145631499264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145631499264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221134953600).

145631499264 is an abundant number, since it is smaller than the sum of its proper divisors (296638407936).

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

145631499264 is an equidigital number, since it uses as much as digits as its factorization.

145631499264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29850 (or 29823 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 145631499264 in words is "one hundred forty-five billion, six hundred thirty-one million, four hundred ninety-nine thousand, two hundred sixty-four".