49217916384 has 768 divisors, whose sum is σ = 195328143360. Its totient is φ = 11678515200.

The previous prime is 49217916373. The next prime is 49217916439. The reversal of 49217916384 is 48361971294.

49217916384 is a `hidden beast` number, since 4 + 92 + 179 + 1 + 6 + 384 = 666.

It is a super-3 number, since 3×49217916384³ (a number of 33 digits) contains 333 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 49217916384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30741184 + ... + 30742784.

It is an arithmetic number, because the mean of its divisors is an integer number (254333520).

Almost surely, 2^49217916384 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 49217916384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97664071680).

49217916384 is an abundant number, since it is smaller than the sum of its proper divisors (146110226976).

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

49217916384 is a wasteful number, since it uses less digits than its factorization.

49217916384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1666 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 49217916384 in words is "forty-nine billion, two hundred seventeen million, nine hundred sixteen thousand, three hundred eighty-four".