988045074432 has 1344 divisors, whose sum is σ = 3548872353600. Its totient is φ = 269525975040.

The previous prime is 988045074427. The next prime is 988045074433. The reversal of 988045074432 is 234470540889.

988045074432 is a `hidden beast` number, since 9 + 8 + 80 + 450 + 74 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988045074433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24098660332 + ... + 24098660372.

It is an arithmetic number, because the mean of its divisors is an integer number (2640530025).

Almost surely, 2^988045074432 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 988045074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774436176800).

988045074432 is an abundant number, since it is smaller than the sum of its proper divisors (2560827279168).

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

988045074432 is a wasteful number, since it uses less digits than its factorization.

988045074432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 988045074432 in words is "nine hundred eighty-eight billion, forty-five million, seventy-four thousand, four hundred thirty-two".