986142838032 has 320 divisors, whose sum is σ = 3178116587520. Its totient is φ = 290137075200.

The previous prime is 986142838019. The next prime is 986142838081. The reversal of 986142838032 is 230838241689.

986142838032 is a `hidden beast` number, since 98 + 6 + 142 + 8 + 380 + 32 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 986142838032.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86323873 + ... + 86335295.

It is an arithmetic number, because the mean of its divisors is an integer number (9931614336).

Almost surely, 2^986142838032 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 986142838032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589058293760).

986142838032 is an abundant number, since it is smaller than the sum of its proper divisors (2191973749488).

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

986142838032 is a wasteful number, since it uses less digits than its factorization.

986142838032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11979 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 986142838032 in words is "nine hundred eighty-six billion, one hundred forty-two million, eight hundred thirty-eight thousand, thirty-two".