48418974720 has 264 divisors, whose sum is σ = 173988678864. Its totient is φ = 12911394816.

The previous prime is 48418974719. The next prime is 48418974727. The reversal of 48418974720 is 2747981484.

48418974720 is a `hidden beast` number, since 4 + 84 + 1 + 8 + 97 + 472 + 0 = 666.

48418974720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48418974720² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48418974727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224702 + ... + 1263618.

It is an arithmetic number, because the mean of its divisors is an integer number (659048026).

Almost surely, 2^48418974720 is an apocalyptic number.

48418974720 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 48418974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86994339432).

48418974720 is an abundant number, since it is smaller than the sum of its proper divisors (125569704144).

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

48418974720 is an equidigital number, since it uses as much as digits as its factorization.

48418974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38957 (or 38927 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 48418974720 in words is "forty-eight billion, four hundred eighteen million, nine hundred seventy-four thousand, seven hundred twenty".