48472312320 has 720 divisors, whose sum is σ = 181622953512. Its totient is φ = 11938037760.

The previous prime is 48472312319. The next prime is 48472312321. The reversal of 48472312320 is 2321327484.

It is a happy number.

48472312320 is a `hidden beast` number, since 48 + 472 + 3 + 123 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (48472312319) and next prime (48472312321).

It can be written as a sum of positive squares in 4 ways, for example, as 24923568384 + 23548743936 = 157872^2 + 153456^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48472312321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499714512 + ... + 499714608.

Almost surely, 2^48472312320 is an apocalyptic number.

48472312320 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 48472312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90811476756).

48472312320 is an abundant number, since it is smaller than the sum of its proper divisors (133150641192).

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

48472312320 is a wasteful number, since it uses less digits than its factorization.

48472312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 48472312320 in words is "forty-eight billion, four hundred seventy-two million, three hundred twelve thousand, three hundred twenty".