48028583779456 has 256 divisors, whose sum is σ = 115142249502720. Its totient is φ = 19521036288000.

The previous prime is 48028583779433. The next prime is 48028583779481. The reversal of 48028583779456 is 65497738582084.

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, 1291037656 + ... + 1291074856.

It is an arithmetic number, because the mean of its divisors is an integer number (449774412120).

Almost surely, 2^{48028583779456} 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 48028583779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57571124751360).

48028583779456 is an abundant number, since it is smaller than the sum of its proper divisors (67113665723264).

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

48028583779456 is a wasteful number, since it uses less digits than its factorization.

48028583779456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38183 (or 38171 counting only the distinct ones).

The product of its (nonzero) digits is 3251404800, while the sum is 76.

The spelling of 48028583779456 in words is "forty-eight trillion, twenty-eight billion, five hundred eighty-three million, seven hundred seventy-nine thousand, four hundred fifty-six".