49815752064 has 256 divisors, whose sum is σ = 147623669760. Its totient is φ = 14780620800.

The previous prime is 49815752059. The next prime is 49815752101. The reversal of 49815752064 is 46025751894.

It is a junction number, because it is equal to n+sod(n) for n = 49815751998 and 49815752016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75363894 + ... + 75364554.

It is an arithmetic number, because the mean of its divisors is an integer number (576654960).

Almost surely, 2^49815752064 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 49815752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73811834880).

49815752064 is an abundant number, since it is smaller than the sum of its proper divisors (97807917696).

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

49815752064 is a wasteful number, since it uses less digits than its factorization.

49815752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 49815752064 in words is "forty-nine billion, eight hundred fifteen million, seven hundred fifty-two thousand, sixty-four".