463751977152 has 112 divisors (see below), whose sum is σ = 1269874828800. Its totient is φ = 149188408320.

The previous prime is 463751977141. The next prime is 463751977187. The reversal of 463751977152 is 251779157364.

463751977152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×463751977152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463751977092 and 463751977101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13674777 + ... + 13708647.

Almost surely, 2^463751977152 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 463751977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634937414400).

463751977152 is an abundant number, since it is smaller than the sum of its proper divisors (806122851648).

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

463751977152 is a wasteful number, since it uses less digits than its factorization.

463751977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36374 (or 36364 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 57.

The spelling of 463751977152 in words is "four hundred sixty-three billion, seven hundred fifty-one million, nine hundred seventy-seven thousand, one hundred fifty-two".