48220440576 has 288 divisors, whose sum is σ = 163151483040. Its totient is φ = 12523929600.

The previous prime is 48220440557. The next prime is 48220440589. The reversal of 48220440576 is 67504402284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3304336 + ... + 3318896.

It is an arithmetic number, because the mean of its divisors is an integer number (566498205).

Almost surely, 2^48220440576 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 48220440576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81575741520).

48220440576 is an abundant number, since it is smaller than the sum of its proper divisors (114931042464).

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

48220440576 is a wasteful number, since it uses less digits than its factorization.

48220440576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14611 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 48220440576 in words is "forty-eight billion, two hundred twenty million, four hundred forty thousand, five hundred seventy-six".