49638914424 has 384 divisors, whose sum is σ = 158740807680. Its totient is φ = 14395708800.

The previous prime is 49638914407. The next prime is 49638914443. The reversal of 49638914424 is 42441983694.

49638914424 is a `hidden beast` number, since 496 + 3 + 8 + 9 + 144 + 2 + 4 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68278749 + ... + 68279475.

It is an arithmetic number, because the mean of its divisors is an integer number (413387520).

Almost surely, 2^49638914424 is an apocalyptic number.

49638914424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49638914424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79370403840).

49638914424 is an abundant number, since it is smaller than the sum of its proper divisors (109101893256).

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

49638914424 is a wasteful number, since it uses less digits than its factorization.

49638914424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 49638914424 in words is "forty-nine billion, six hundred thirty-eight million, nine hundred fourteen thousand, four hundred twenty-four".