49716846129600 has 1512 divisors, whose sum is σ = 196394861382720. Its totient is φ = 11856964239360.

The previous prime is 49716846129569. The next prime is 49716846129661. The reversal of 49716846129600 is 692164861794.

49716846129600 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 6 + 8 + 4 + 6 + 12 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 45074202649 + ... + 45074203751.

Almost surely, 2^{49716846129600} is an apocalyptic number.

49716846129600 is a gapful number since it is divisible by the number (40) 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 49716846129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98197430691360).

49716846129600 is an abundant number, since it is smaller than the sum of its proper divisors (146678015253120).

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

49716846129600 is a wasteful number, since it uses less digits than its factorization.

49716846129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 49716846129600 in words is "forty-nine trillion, seven hundred sixteen billion, eight hundred forty-six million, one hundred twenty-nine thousand, six hundred".