150677468928 has 432 divisors, whose sum is σ = 504839514816. Its totient is φ = 42334617600.

The previous prime is 150677468917. The next prime is 150677468951. The reversal of 150677468928 is 829864776051.

150677468928 is a `hidden beast` number, since 1 + 506 + 7 + 7 + 46 + 89 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379540026 + ... + 379540422.

It is an arithmetic number, because the mean of its divisors is an integer number (1168609988).

Almost surely, 2^150677468928 is an apocalyptic number.

150677468928 is a gapful number since it is divisible by the number (18) 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 150677468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252419757408).

150677468928 is an abundant number, since it is smaller than the sum of its proper divisors (354162045888).

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

150677468928 is a wasteful number, since it uses less digits than its factorization.

150677468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 150677468928 in words is "one hundred fifty billion, six hundred seventy-seven million, four hundred sixty-eight thousand, nine hundred twenty-eight".