49932777936384 has 960 divisors, whose sum is σ = 182821498675200. Its totient is φ = 13370383466496.

The previous prime is 49932777936329. The next prime is 49932777936397. The reversal of 49932777936384 is 48363977723994.

49932777936384 is a `hidden beast` number, since 4 + 9 + 9 + 327 + 77 + 93 + 63 + 84 = 666.

49932777936384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2752169617 + ... + 2752187759.

It is an arithmetic number, because the mean of its divisors is an integer number (190439061120).

Almost surely, 2^{49932777936384} 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 49932777936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91410749337600).

49932777936384 is an abundant number, since it is smaller than the sum of its proper divisors (132888720738816).

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

49932777936384 is a wasteful number, since it uses less digits than its factorization.

49932777936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18440 (or 18411 counting only the distinct ones).

The product of its digits is 10369949184, while the sum is 81.

The spelling of 49932777936384 in words is "forty-nine trillion, nine hundred thirty-two billion, seven hundred seventy-seven million, nine hundred thirty-six thousand, three hundred eighty-four".