9875331390016 has 63 divisors (see below), whose sum is σ = 19872174356283. Its totient is φ = 4869121397760.

The previous prime is 9875331389999. The next prime is 9875331390047. The reversal of 9875331390016 is 6100931335789.

It is a happy number.

The square root of 9875331390016 is 3142504.

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

9875331390016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 120353486400 + 9754977903616 = 346920^2 + 3123296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1835219646 + ... + 1835225026.

Almost surely, 2^{9875331390016} is an apocalyptic number.

9875331390016 is the 3142504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9875331390016

9875331390016 is an abundant number, since it is smaller than the sum of its proper divisors (9996842966267).

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

9875331390016 is an frugal number, since it uses more digits than its factorization.

9875331390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 9875331390016 in words is "nine trillion, eight hundred seventy-five billion, three hundred thirty-one million, three hundred ninety thousand, sixteen".