9888432390144 has 1152 divisors, whose sum is σ = 37640017396800. Its totient is φ = 2568423997440.

The previous prime is 9888432390121. The next prime is 9888432390149. The reversal of 9888432390144 is 4410932348889.

9888432390144 is a `hidden beast` number, since 9 + 8 + 8 + 84 + 323 + 90 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9888432390149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 898948399099 + ... + 898948399109.

Almost surely, 2^{9888432390144} is an apocalyptic number.

9888432390144 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9888432390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18820008698400).

9888432390144 is an abundant number, since it is smaller than the sum of its proper divisors (27751585006656).

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

9888432390144 is an frugal number, since it uses more digits than its factorization.

9888432390144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 9888432390144 in words is "nine trillion, eight hundred eighty-eight billion, four hundred thirty-two million, three hundred ninety thousand, one hundred forty-four".