48461933916484 has 96 divisors (see below), whose sum is σ = 95155772608512. Its totient is φ = 21405601728000.

The previous prime is 48461933916439. The next prime is 48461933916493.

It is a happy number.

48461933916484 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470055589 + ... + 470158675.

It is an arithmetic number, because the mean of its divisors is an integer number (991205964672).

Almost surely, 2^{48461933916484} is an apocalyptic number.

48461933916484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48461933916484 is a deficient number, since it is larger than the sum of its proper divisors (46693838692028).

48461933916484 is a wasteful number, since it uses less digits than its factorization.

48461933916484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104417 (or 104415 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 70.

The spelling of 48461933916484 in words is "forty-eight trillion, four hundred sixty-one billion, nine hundred thirty-three million, nine hundred sixteen thousand, four hundred eighty-four".