464561449632 has 384 divisors, whose sum is σ = 1654711027200. Its totient is φ = 123775008768.

The previous prime is 464561449607. The next prime is 464561449691. The reversal of 464561449632 is 236944165464.

464561449632 is a `hidden beast` number, since 4 + 6 + 4 + 561 + 4 + 49 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11186218 + ... + 11227670.

It is an arithmetic number, because the mean of its divisors is an integer number (4309143300).

Almost surely, 2^464561449632 is an apocalyptic number.

464561449632 is a gapful number since it is divisible by the number (42) 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 464561449632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827355513600).

464561449632 is an abundant number, since it is smaller than the sum of its proper divisors (1190149577568).

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

464561449632 is a wasteful number, since it uses less digits than its factorization.

464561449632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41605 (or 41591 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 464561449632 in words is "four hundred sixty-four billion, five hundred sixty-one million, four hundred forty-nine thousand, six hundred thirty-two".