481551203952 has 1200 divisors, whose sum is σ = 1852160977920. Its totient is φ = 117909043200.

The previous prime is 481551203951. The next prime is 481551203993. The reversal of 481551203952 is 259302155184.

481551203952 is a `hidden beast` number, since 4 + 8 + 1 + 551 + 2 + 0 + 3 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 481551203898 and 481551203907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481551203951) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1776941577 + ... + 1776941847.

Almost surely, 2^481551203952 is an apocalyptic number.

481551203952 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 481551203952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926080488960).

481551203952 is an abundant number, since it is smaller than the sum of its proper divisors (1370609773968).

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

481551203952 is a wasteful number, since it uses less digits than its factorization.

481551203952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 481551203952 in words is "four hundred eighty-one billion, five hundred fifty-one million, two hundred three thousand, nine hundred fifty-two".