464251601451344 has 160 divisors (see below), whose sum is σ = 1093383496048896. Its totient is φ = 186413689405440.

The previous prime is 464251601451271. The next prime is 464251601451431. The reversal of 464251601451344 is 443154106152464.

It is a junction number, because it is equal to n+sod(n) for n = 464251601451292 and 464251601451301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1923911339 + ... + 1924152629.

Almost surely, 2^{464251601451344} 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 464251601451344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546691748024448).

464251601451344 is an abundant number, since it is smaller than the sum of its proper divisors (629131894597552).

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

464251601451344 is a wasteful number, since it uses less digits than its factorization.

464251601451344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245893 (or 245887 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 50.

The spelling of 464251601451344 in words is "four hundred sixty-four trillion, two hundred fifty-one billion, six hundred one million, four hundred fifty-one thousand, three hundred forty-four".