464693993352 has 96 divisors (see below), whose sum is σ = 1269226838880. Its totient is φ = 153585469440.

The previous prime is 464693993303. The next prime is 464693993363. The reversal of 464693993352 is 253399396464.

464693993352 is a `hidden beast` number, since 4 + 6 + 469 + 3 + 99 + 33 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 464693993352.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11458503 + ... + 11498985.

It is an arithmetic number, because the mean of its divisors is an integer number (13221112905).

Almost surely, 2^464693993352 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 464693993352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634613419440).

464693993352 is an abundant number, since it is smaller than the sum of its proper divisors (804532845528).

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

464693993352 is a wasteful number, since it uses less digits than its factorization.

464693993352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41843 (or 41836 counting only the distinct ones).

The product of its digits is 113374080, while the sum is 63.

The spelling of 464693993352 in words is "four hundred sixty-four billion, six hundred ninety-three million, nine hundred ninety-three thousand, three hundred fifty-two".