47751756416 has 256 divisors, whose sum is σ = 124612992000. Its totient is φ = 17687642112.

The previous prime is 47751756359. The next prime is 47751756449. The reversal of 47751756416 is 61465715774.

47751756416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 47325320 + ... + 47326328.

It is an arithmetic number, because the mean of its divisors is an integer number (486769500).

Almost surely, 2^47751756416 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 47751756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62306496000).

47751756416 is an abundant number, since it is smaller than the sum of its proper divisors (76861235584).

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

47751756416 is a wasteful number, since it uses less digits than its factorization.

47751756416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1287 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 53.

The spelling of 47751756416 in words is "forty-seven billion, seven hundred fifty-one million, seven hundred fifty-six thousand, four hundred sixteen".