98690142672 has 240 divisors, whose sum is σ = 312119308800. Its totient is φ = 28835466240.

The previous prime is 98690142637. The next prime is 98690142689. The reversal of 98690142672 is 27624109689.

98690142672 is a `hidden beast` number, since 98 + 69 + 0 + 1 + 426 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66101158 + ... + 66102650.

It is an arithmetic number, because the mean of its divisors is an integer number (1300497120).

Almost surely, 2^98690142672 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 98690142672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156059654400).

98690142672 is an abundant number, since it is smaller than the sum of its proper divisors (213429166128).

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

98690142672 is a wasteful number, since it uses less digits than its factorization.

98690142672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 98690142672 in words is "ninety-eight billion, six hundred ninety million, one hundred forty-two thousand, six hundred seventy-two".