9948122392320 has 864 divisors, whose sum is σ = 41153965332480. Its totient is φ = 2171162787840.

The previous prime is 9948122392207. The next prime is 9948122392331. The reversal of 9948122392320 is 232932218499.

9948122392320 is a `hidden beast` number, since 9 + 9 + 4 + 8 + 1 + 223 + 92 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155361271 + ... + 155425289.

It is an arithmetic number, because the mean of its divisors is an integer number (47631904320).

Almost surely, 2^{9948122392320} is an apocalyptic number.

9948122392320 is a gapful number since it is divisible by the number (90) 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 9948122392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576982666240).

9948122392320 is an abundant number, since it is smaller than the sum of its proper divisors (31205842940160).

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

9948122392320 is a wasteful number, since it uses less digits than its factorization.

9948122392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64141 (or 64124 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 9948122392320 in words is "nine trillion, nine hundred forty-eight billion, one hundred twenty-two million, three hundred ninety-two thousand, three hundred twenty".