463048465572 has 576 divisors, whose sum is σ = 1553075596800. Its totient is φ = 112831488000.

The previous prime is 463048465547. The next prime is 463048465589. The reversal of 463048465572 is 275564840364.

463048465572 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 4 + 8 + 4 + 65 + 572 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 436425922 + ... + 436426982.

It is an arithmetic number, because the mean of its divisors is an integer number (2696311800).

Almost surely, 2^463048465572 is an apocalyptic number.

463048465572 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 463048465572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776537798400).

463048465572 is an abundant number, since it is smaller than the sum of its proper divisors (1090027131228).

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

463048465572 is a wasteful number, since it uses less digits than its factorization.

463048465572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 463048465572 in words is "four hundred sixty-three billion, forty-eight million, four hundred sixty-five thousand, five hundred seventy-two".