48136824842904 has 640 divisors, whose sum is σ = 162395337646080. Its totient is φ = 13031617996800.

The previous prime is 48136824842863. The next prime is 48136824842941. The reversal of 48136824842904 is 40924842863184.

It is a happy number.

48136824842904 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 68 + 2 + 484 + 2 + 90 + 4 = 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 159 ways as a sum of consecutive naturals, for example, 3748675524 + ... + 3748688364.

It is an arithmetic number, because the mean of its divisors is an integer number (253742715072).

Almost surely, 2^{48136824842904} 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 48136824842904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81197668823040).

48136824842904 is an abundant number, since it is smaller than the sum of its proper divisors (114258512803176).

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

48136824842904 is a wasteful number, since it uses less digits than its factorization.

48136824842904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13453 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 48136824842904 in words is "forty-eight trillion, one hundred thirty-six billion, eight hundred twenty-four million, eight hundred forty-two thousand, nine hundred four".