480876748761144 has 64 divisors (see below), whose sum is σ = 1265884298928000. Its totient is φ = 151805514925440.

The previous prime is 480876748761107. The next prime is 480876748761151. The reversal of 480876748761144 is 441167847678084.

It is a super-3 number, since 3×480876748761144³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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, 173276247 + ... + 176029574.

It is an arithmetic number, because the mean of its divisors is an integer number (19779442170750).

Almost surely, 2^{480876748761144} is an apocalyptic number.

It is an amenable number.

480876748761144 is an abundant number, since it is smaller than the sum of its proper divisors (785007550166856).

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

480876748761144 is a wasteful number, since it uses less digits than its factorization.

480876748761144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349308868 (or 349308864 counting only the distinct ones).

The product of its (nonzero) digits is 1618477056, while the sum is 75.

The spelling of 480876748761144 in words is "four hundred eighty trillion, eight hundred seventy-six billion, seven hundred forty-eight million, seven hundred sixty-one thousand, one hundred forty-four".