463311297792 has 864 divisors, whose sum is σ = 1688620348800. Its totient is φ = 124723888128.

The previous prime is 463311297781. The next prime is 463311297817. The reversal of 463311297792 is 297792113364.

463311297792 is a `hidden beast` number, since 463 + 3 + 1 + 1 + 2 + 97 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422343388 + ... + 422344484.

It is an arithmetic number, because the mean of its divisors is an integer number (1954421700).

Almost surely, 2^463311297792 is an apocalyptic number.

463311297792 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 463311297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844310174400).

463311297792 is an abundant number, since it is smaller than the sum of its proper divisors (1225309051008).

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

463311297792 is a wasteful number, since it uses less digits than its factorization.

463311297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1181 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 463311297792 in words is "four hundred sixty-three billion, three hundred eleven million, two hundred ninety-seven thousand, seven hundred ninety-two".