152433923328 has 504 divisors, whose sum is σ = 472161939648. Its totient is φ = 49071661056.

The previous prime is 152433923297. The next prime is 152433923339. The reversal of 152433923328 is 823329334251.

152433923328 is a `hidden beast` number, since 1 + 524 + 3 + 3 + 92 + 3 + 32 + 8 = 666.

It is a super-2 number, since 2×152433923328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 912777901 + ... + 912778067.

Almost surely, 2^152433923328 is an apocalyptic number.

152433923328 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 152433923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236080969824).

152433923328 is an abundant number, since it is smaller than the sum of its proper divisors (319728016320).

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

152433923328 is an frugal number, since it uses more digits than its factorization.

152433923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

It can be divided in two parts, 152433923 and 328, that added together give a palindrome (152434251).

The spelling of 152433923328 in words is "one hundred fifty-two billion, four hundred thirty-three million, nine hundred twenty-three thousand, three hundred twenty-eight".