464123132928 has 1584 divisors, whose sum is σ = 1842202726560. Its totient is φ = 114375131136.

The previous prime is 464123132821. The next prime is 464123132939. The reversal of 464123132928 is 829231321464.

464123132928 is a `hidden beast` number, since 4 + 6 + 41 + 2 + 313 + 292 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6357851100 + ... + 6357851172.

Almost surely, 2^464123132928 is an apocalyptic number.

464123132928 is a gapful number since it is divisible by the number (48) 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 464123132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921101363280).

464123132928 is an abundant number, since it is smaller than the sum of its proper divisors (1378079593632).

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

464123132928 is a wasteful number, since it uses less digits than its factorization.

464123132928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 117 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 464123132928 in words is "four hundred sixty-four billion, one hundred twenty-three million, one hundred thirty-two thousand, nine hundred twenty-eight".