51337448448 has 352 divisors, whose sum is σ = 167777229312. Its totient is φ = 13733068800.

The previous prime is 51337448431. The next prime is 51337448497. The reversal of 51337448448 is 84484473315.

51337448448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×51337448448² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51337448448.

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, 10101268 + ... + 10106348.

It is an arithmetic number, because the mean of its divisors is an integer number (476639856).

Almost surely, 2^51337448448 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 51337448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83888614656).

51337448448 is an abundant number, since it is smaller than the sum of its proper divisors (116439780864).

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

51337448448 is a wasteful number, since it uses less digits than its factorization.

51337448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5133 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The spelling of 51337448448 in words is "fifty-one billion, three hundred thirty-seven million, four hundred forty-eight thousand, four hundred forty-eight".