463416956352 has 336 divisors, whose sum is σ = 1577287525632. Its totient is φ = 132152186880.

The previous prime is 463416956351. The next prime is 463416956357. The reversal of 463416956352 is 253659614364.

463416956352 is a `hidden beast` number, since 4 + 63 + 4 + 16 + 9 + 563 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (463416956351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61286652 + ... + 61294212.

It is an arithmetic number, because the mean of its divisors is an integer number (4694308112).

Almost surely, 2^463416956352 is an apocalyptic number.

463416956352 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 463416956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788643762816).

463416956352 is an abundant number, since it is smaller than the sum of its proper divisors (1113870569280).

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

463416956352 is an equidigital number, since it uses as much as digits as its factorization.

463416956352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158 (or 8136 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 463416956352 in words is "four hundred sixty-three billion, four hundred sixteen million, nine hundred fifty-six thousand, three hundred fifty-two".