48804131362896 has 960 divisors, whose sum is σ = 185211160012800. Its totient is φ = 12011816374272.

The previous prime is 48804131362823. The next prime is 48804131362901. The reversal of 48804131362896 is 69826313140884.

48804131362896 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 413 + 136 + 2 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 650536780 + ... + 650611796.

It is an arithmetic number, because the mean of its divisors is an integer number (192928291680).

Almost surely, 2^{48804131362896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48804131362896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92605580006400).

48804131362896 is an abundant number, since it is smaller than the sum of its proper divisors (136407028649904).

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

48804131362896 is a wasteful number, since it uses less digits than its factorization.

48804131362896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75153 (or 75128 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 48804131362896 in words is "forty-eight trillion, eight hundred four billion, one hundred thirty-one million, three hundred sixty-two thousand, eight hundred ninety-six".