48174174720 has 960 divisors, whose sum is σ = 204272640000. Its totient is φ = 10247897088.

The previous prime is 48174174707. The next prime is 48174174757. The reversal of 48174174720 is 2747147184.

48174174720 is a `hidden beast` number, since 4 + 8 + 174 + 1 + 7 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×48174174720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242081181 + ... + 242081379.

It is an arithmetic number, because the mean of its divisors is an integer number (212784000).

Almost surely, 2^48174174720 is an apocalyptic number.

48174174720 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 48174174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320000).

48174174720 is an abundant number, since it is smaller than the sum of its proper divisors (156098465280).

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

48174174720 is a wasteful number, since it uses less digits than its factorization.

48174174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 48174174720 in words is "forty-eight billion, one hundred seventy-four million, one hundred seventy-four thousand, seven hundred twenty".