150484680864 has 576 divisors, whose sum is σ = 520092518400. Its totient is φ = 41211555840.

The previous prime is 150484680851. The next prime is 150484680889. The reversal of 150484680864 is 468086484051.

It is a happy number.

150484680864 is a `hidden beast` number, since 1 + 5 + 0 + 484 + 6 + 80 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 150484680864.

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 95 ways as a sum of consecutive naturals, for example, 480781572 + ... + 480781884.

It is an arithmetic number, because the mean of its divisors is an integer number (902938400).

Almost surely, 2^150484680864 is an apocalyptic number.

150484680864 is a gapful number since it is divisible by the number (14) 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 150484680864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260046259200).

150484680864 is an abundant number, since it is smaller than the sum of its proper divisors (369607837536).

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

150484680864 is a wasteful number, since it uses less digits than its factorization.

150484680864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 150484680864 in words is "one hundred fifty billion, four hundred eighty-four million, six hundred eighty thousand, eight hundred sixty-four".