48846277264884 has 96 divisors (see below), whose sum is σ = 125240820848640. Its totient is φ = 14694389107200.

The previous prime is 48846277264777. The next prime is 48846277264901.

48846277264884 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 17667157 + ... + 20244035.

It is an arithmetic number, because the mean of its divisors is an integer number (1304591883840).

Almost surely, 2^{48846277264884} is an apocalyptic number.

48846277264884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48846277264884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62620410424320).

48846277264884 is an abundant number, since it is smaller than the sum of its proper divisors (76394543583756).

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

48846277264884 is a wasteful number, since it uses less digits than its factorization.

48846277264884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577941 (or 2577939 counting only the distinct ones).

The product of its digits is 7398752256, while the sum is 78.

The spelling of 48846277264884 in words is "forty-eight trillion, eight hundred forty-six billion, two hundred seventy-seven million, two hundred sixty-four thousand, eight hundred eighty-four".