49381363584 has 896 divisors, whose sum is σ = 186226214400. Its totient is φ = 12711333888.

The previous prime is 49381363583. The next prime is 49381363601. The reversal of 49381363584 is 48536318394.

49381363584 is a `hidden beast` number, since 49 + 3 + 8 + 13 + 6 + 3 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49381363584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49381363583) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 285441322 + ... + 285441494.

Almost surely, 2^49381363584 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 49381363584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93113107200).

49381363584 is an abundant number, since it is smaller than the sum of its proper divisors (136844850816).

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

49381363584 is a wasteful number, since it uses less digits than its factorization.

49381363584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 49381363584 in words is "forty-nine billion, three hundred eighty-one million, three hundred sixty-three thousand, five hundred eighty-four".