480825104761738 has 12 divisors (see below), whose sum is σ = 792765358677810. Its totient is φ = 218556865800680.

The previous prime is 480825104761693. The next prime is 480825104761759. The reversal of 480825104761738 is 837167401528084.

It can be written as a sum of positive squares in only one way, i.e., 403439883870969 + 77385220890769 = 20085813^2 + 8796887^2 .

It is a super-3 number, since 3×480825104761738³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480825104761738.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 993440298853 + ... + 993440299336.

Almost surely, 2^{480825104761738} is an apocalyptic number.

480825104761738 is a deficient number, since it is larger than the sum of its proper divisors (311940253916072).

480825104761738 is a wasteful number, since it uses less digits than its factorization.

480825104761738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986880598213 (or 1986880598202 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 64.

The spelling of 480825104761738 in words is "four hundred eighty trillion, eight hundred twenty-five billion, one hundred four million, seven hundred sixty-one thousand, seven hundred thirty-eight".