48359644320 has 384 divisors, whose sum is σ = 177953448960. Its totient is φ = 10929438720.

The previous prime is 48359644273. The next prime is 48359644331. The reversal of 48359644320 is 2344695384.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48359644320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4343721 + ... + 4354839.

It is an arithmetic number, because the mean of its divisors is an integer number (463420440).

Almost surely, 2^48359644320 is an apocalyptic number.

48359644320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48359644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88976724480).

48359644320 is an abundant number, since it is smaller than the sum of its proper divisors (129593804640).

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

48359644320 is a wasteful number, since it uses less digits than its factorization.

48359644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11208 (or 11200 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 48359644320 in words is "forty-eight billion, three hundred fifty-nine million, six hundred forty-four thousand, three hundred twenty".