48786797291904 has 384 divisors, whose sum is σ = 168956569267200. Its totient is φ = 13210710847488.

The previous prime is 48786797291833. The next prime is 48786797291909. The reversal of 48786797291904 is 40919279768784.

48786797291904 is a `hidden beast` number, since 4 + 87 + 86 + 7 + 97 + 291 + 90 + 4 = 666.

48786797291904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48786797291909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19009837 + ... + 21423059.

It is an arithmetic number, because the mean of its divisors is an integer number (439991065800).

Almost surely, 2^{48786797291904} 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 48786797291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84478284633600).

48786797291904 is an abundant number, since it is smaller than the sum of its proper divisors (120169771975296).

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

48786797291904 is a wasteful number, since it uses less digits than its factorization.

48786797291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413382 (or 2413367 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 81.

The spelling of 48786797291904 in words is "forty-eight trillion, seven hundred eighty-six billion, seven hundred ninety-seven million, two hundred ninety-one thousand, nine hundred four".