48416721444 has 405 divisors, whose sum is σ = 159367530231. Its totient is φ = 12357334080.

The previous prime is 48416721401. The next prime is 48416721461. The reversal of 48416721444 is 44412761484.

The square root of 48416721444 is 220038.

It is a perfect power (a square), and thus also a powerful number.

48416721444 is a `hidden beast` number, since 48 + 4 + 167 + 2 + 1 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24005783844 + 24410937600 = 154938^2 + 156240^2 .

Its product of digits (688128) is a multiple of the sum of its prime divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 48416721444.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1561829709 + ... + 1561829739.

Almost surely, 2^48416721444 is an apocalyptic number.

48416721444 is the 220038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48416721444

48416721444 is an abundant number, since it is smaller than the sum of its proper divisors (110950808787).

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

48416721444 is a wasteful number, since it uses less digits than its factorization.

48416721444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 56 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 48416721444 in words is "forty-eight billion, four hundred sixteen million, seven hundred twenty-one thousand, four hundred forty-four".