49338704128896 has 768 divisors, whose sum is σ = 177769862000640. Its totient is φ = 12787798966272.

The previous prime is 49338704128849. The next prime is 49338704128907. The reversal of 49338704128896 is 69882140783394.

49338704128896 is a `hidden beast` number, since 4 + 9 + 338 + 7 + 0 + 4 + 1 + 288 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3041273041 + ... + 3041289263.

It is an arithmetic number, because the mean of its divisors is an integer number (231471174480).

Almost surely, 2^{49338704128896} 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 49338704128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88884931000320).

49338704128896 is an abundant number, since it is smaller than the sum of its proper divisors (128431157871744).

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

49338704128896 is a wasteful number, since it uses less digits than its factorization.

49338704128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16763 (or 16748 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 49338704128896 in words is "forty-nine trillion, three hundred thirty-eight billion, seven hundred four million, one hundred twenty-eight thousand, eight hundred ninety-six".