48390928416 has 192 divisors, whose sum is σ = 146378534400. Its totient is φ = 15534489600.

The previous prime is 48390928381. The next prime is 48390928457. The reversal of 48390928416 is 61482909384.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10796896 + ... + 10801376.

It is an arithmetic number, because the mean of its divisors is an integer number (762388200).

Almost surely, 2^48390928416 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 48390928416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73189267200).

48390928416 is an abundant number, since it is smaller than the sum of its proper divisors (97987605984).

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

48390928416 is a wasteful number, since it uses less digits than its factorization.

48390928416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48390928416 in words is "forty-eight billion, three hundred ninety million, nine hundred twenty-eight thousand, four hundred sixteen".