9985432095144 has 384 divisors, whose sum is σ = 32062622791680. Its totient is φ = 2776426329600.

The previous prime is 9985432095127. The next prime is 9985432095161. The reversal of 9985432095144 is 4415902345899.

9985432095144 is a `hidden beast` number, since 9 + 9 + 85 + 4 + 32 + 0 + 9 + 514 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9985432095127) and next prime (9985432095161).

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, 47749099 + ... + 47957765.

It is an arithmetic number, because the mean of its divisors is an integer number (83496413520).

Almost surely, 2^{9985432095144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9985432095144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031311395840).

9985432095144 is an abundant number, since it is smaller than the sum of its proper divisors (22077190696536).

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

9985432095144 is a wasteful number, since it uses less digits than its factorization.

9985432095144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208821 (or 208814 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 9985432095144 in words is "nine trillion, nine hundred eighty-five billion, four hundred thirty-two million, ninety-five thousand, one hundred forty-four".