48670822807684 has 288 divisors, whose sum is σ = 114522038265600. Its totient is φ = 17939371968000.

The previous prime is 48670822807667. The next prime is 48670822807709.

48670822807684 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4124290584 + ... + 4124302384.

It is an arithmetic number, because the mean of its divisors is an integer number (397645966200).

Almost surely, 2^{48670822807684} is an apocalyptic number.

48670822807684 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 48670822807684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57261019132800).

48670822807684 is an abundant number, since it is smaller than the sum of its proper divisors (65851215457916).

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

48670822807684 is a wasteful number, since it uses less digits than its factorization.

48670822807684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12632 (or 12597 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 70.

The spelling of 48670822807684 in words is "forty-eight trillion, six hundred seventy billion, eight hundred twenty-two million, eight hundred seven thousand, six hundred eighty-four".