48932300323984 has 80 divisors (see below), whose sum is σ = 118205820057600. Its totient is φ = 19063610340480.

The previous prime is 48932300323919. The next prime is 48932300324029.

48932300323984 is nontrivially palindromic in base 10.

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, 24797337 + ... + 26697799.

It is an arithmetic number, because the mean of its divisors is an integer number (1477572750720).

Almost surely, 2^{48932300323984} is an apocalyptic number.

48932300323984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48932300323984 is an abundant number, since it is smaller than the sum of its proper divisors (69273519733616).

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

48932300323984 is a wasteful number, since it uses less digits than its factorization.

48932300323984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921388 (or 1921382 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 58.

The spelling of 48932300323984 in words is "forty-eight trillion, nine hundred thirty-two billion, three hundred million, three hundred twenty-three thousand, nine hundred eighty-four".