463572117555456 has 288 divisors, whose sum is σ = 1519927282798848. Its totient is φ = 122145527070720.

The previous prime is 463572117555431. The next prime is 463572117555497. The reversal of 463572117555456 is 654555711275364.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71025310 + ... + 77277026.

It is an arithmetic number, because the mean of its divisors is an integer number (5277525287496).

Almost surely, 2^{463572117555456} 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 463572117555456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759963641399424).

463572117555456 is an abundant number, since it is smaller than the sum of its proper divisors (1056355165243392).

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

463572117555456 is a wasteful number, since it uses less digits than its factorization.

463572117555456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252817 (or 6252803 counting only the distinct ones).

The product of its digits is 529200000, while the sum is 66.

The spelling of 463572117555456 in words is "four hundred sixty-three trillion, five hundred seventy-two billion, one hundred seventeen million, five hundred fifty-five thousand, four hundred fifty-six".