481993807264 has 48 divisors (see below), whose sum is σ = 968484403656. Its totient is φ = 236062310400.

The previous prime is 481993807241. The next prime is 481993807289. The reversal of 481993807264 is 462708399184.

It can be written as a sum of positive squares in 4 ways, for example, as 296828832400 + 185164974864 = 544820^2 + 430308^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41857 + ... + 982720.

Almost surely, 2^481993807264 is an apocalyptic number.

It is an amenable number.

481993807264 is an abundant number, since it is smaller than the sum of its proper divisors (486490596392).

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

481993807264 is a wasteful number, since it uses less digits than its factorization.

481993807264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024889 (or 1024881 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 481993807264 in words is "four hundred eighty-one billion, nine hundred ninety-three million, eight hundred seven thousand, two hundred sixty-four".