9825015022144 has 189 divisors, whose sum is σ = 22872902592051. Its totient is φ = 4175138016000.

The previous prime is 9825015022133. The next prime is 9825015022153. The reversal of 9825015022144 is 4412205105289.

The square root of 9825015022144 is 3134488.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9825015022144.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39143486019 + ... + 39143486269.

Almost surely, 2^{9825015022144} is an apocalyptic number.

9825015022144 is the 3134488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9825015022144

9825015022144 is an abundant number, since it is smaller than the sum of its proper divisors (13047887569907).

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

9825015022144 is an frugal number, since it uses more digits than its factorization.

9825015022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 9825015022144 in words is "nine trillion, eight hundred twenty-five billion, fifteen million, twenty-two thousand, one hundred forty-four".