464345089344 has 840 divisors, whose sum is σ = 1538274564288. Its totient is φ = 138080194560.

The previous prime is 464345089343. The next prime is 464345089379. The reversal of 464345089344 is 443980543464.

464345089344 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 4 + 508 + 93 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464345089343) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9879682729 + ... + 9879682775.

Almost surely, 2^464345089344 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 464345089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769137282144).

464345089344 is an abundant number, since it is smaller than the sum of its proper divisors (1073929474944).

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

464345089344 is a wasteful number, since it uses less digits than its factorization.

464345089344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 464345089344 in words is "four hundred sixty-four billion, three hundred forty-five million, eighty-nine thousand, three hundred forty-four".