49779341098816 has 168 divisors, whose sum is σ = 119019990007296. Its totient is φ = 20575334384640.

The previous prime is 49779341098811. The next prime is 49779341098831. The reversal of 49779341098816 is 61889014397794.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49779341098811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27610485 + ... + 29358091.

It is an arithmetic number, because the mean of its divisors is an integer number (708452321472).

Almost surely, 2^{49779341098816} 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 49779341098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59509995003648).

49779341098816 is an abundant number, since it is smaller than the sum of its proper divisors (69240648908480).

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

49779341098816 is a wasteful number, since it uses less digits than its factorization.

49779341098816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747957 (or 1747940 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 76.

The spelling of 49779341098816 in words is "forty-nine trillion, seven hundred seventy-nine billion, three hundred forty-one million, ninety-eight thousand, eight hundred sixteen".