4531476982032 has 1920 divisors, whose sum is σ = 18781353472000. Its totient is φ = 1027622661120.

The previous prime is 4531476981949. The next prime is 4531476982057. The reversal of 4531476982032 is 2302896741354.

4531476982032 is a `hidden beast` number, since 4 + 5 + 31 + 476 + 98 + 20 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4531476982032.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7320641019 + ... + 7320641637.

It is a 1-persistent number, because it is pandigital, but 2⋅4531476982032 = 9062953964064 is not.

Almost surely, 2^{4531476982032} is an apocalyptic number.

4531476982032 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 4531476982032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9390676736000).

4531476982032 is an abundant number, since it is smaller than the sum of its proper divisors (14249876489968).

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

4531476982032 is a wasteful number, since it uses less digits than its factorization.

4531476982032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4531476982032 in words is "four trillion, five hundred thirty-one billion, four hundred seventy-six million, nine hundred eighty-two thousand, thirty-two".