49088303087616 has 360 divisors, whose sum is σ = 161697818036664. Its totient is φ = 14215607746560.

The previous prime is 49088303087521. The next prime is 49088303087617. The reversal of 49088303087616 is 61678030388094.

49088303087616 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 8 + 3 + 0 + 3 + 0 + 8 + 7 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5363411337216 + 43724891750400 = 2315904^2 + 6612480^2 .

It is not an unprimeable number, because it can be changed into a prime (49088303087617) 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, 31834606 + ... + 33340946.

Almost surely, 2^{49088303087616} 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 49088303087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80848909018332).

49088303087616 is an abundant number, since it is smaller than the sum of its proper divisors (112609514949048).

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

49088303087616 is a wasteful number, since it uses less digits than its factorization.

49088303087616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506405 (or 1506376 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 49088303087616 in words is "forty-nine trillion, eighty-eight billion, three hundred three million, eighty-seven thousand, six hundred sixteen".