481623145036704 has 72 divisors (see below), whose sum is σ = 1494126347680512. Its totient is φ = 145946407585920.

The previous prime is 481623145036687. The next prime is 481623145036729. The reversal of 481623145036704 is 407630541326184.

481623145036704 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 231 + 45 + 0 + 367 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76013750784 + ... + 76013757119.

It is an arithmetic number, because the mean of its divisors is an integer number (20751754828896).

Almost surely, 2^{481623145036704} is an apocalyptic number.

481623145036704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

481623145036704 is an abundant number, since it is smaller than the sum of its proper divisors (1012503202643808).

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

481623145036704 is a wasteful number, since it uses less digits than its factorization.

481623145036704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152027507930 (or 152027507919 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 481623145036704 in words is "four hundred eighty-one trillion, six hundred twenty-three billion, one hundred forty-five million, thirty-six thousand, seven hundred four".