48398240016 has 405 divisors, whose sum is σ = 165317669829. Its totient is φ = 13685511168.

The previous prime is 48398239987. The next prime is 48398240021. The reversal of 48398240016 is 61004289384.

It is a happy number.

The square root of 48398240016 is 219996.

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

48398240016 is a `hidden beast` number, since 4 + 8 + 398 + 240 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21732656400 + 26665583616 = 147420^2 + 163296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 498950880 + ... + 498950976.

Almost surely, 2^48398240016 is an apocalyptic number.

48398240016 is the 219996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48398240016

48398240016 is an abundant number, since it is smaller than the sum of its proper divisors (116919429813).

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

48398240016 is an frugal number, since it uses more digits than its factorization.

48398240016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 48398240016 in words is "forty-eight billion, three hundred ninety-eight million, two hundred forty thousand, sixteen".