463120315056 has 960 divisors, whose sum is σ = 1684692172800. Its totient is φ = 115739559936.

The previous prime is 463120315043. The next prime is 463120315057. The reversal of 463120315056 is 650513021364.

463120315056 is a `hidden beast` number, since 4 + 631 + 2 + 0 + 3 + 15 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 463120315056.

It is not an unprimeable number, because it can be changed into a prime (463120315057) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1937741785 + ... + 1937742023.

It is an arithmetic number, because the mean of its divisors is an integer number (1754887680).

Almost surely, 2^463120315056 is an apocalyptic number.

463120315056 is a gapful number since it is divisible by the number (46) 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 463120315056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842346086400).

463120315056 is an abundant number, since it is smaller than the sum of its proper divisors (1221571857744).

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

463120315056 is a wasteful number, since it uses less digits than its factorization.

463120315056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 463120315056 in words is "four hundred sixty-three billion, one hundred twenty million, three hundred fifteen thousand, fifty-six".