98009147772 has 192 divisors, whose sum is σ = 268638289920. Its totient is φ = 30860222400.

The previous prime is 98009147729. The next prime is 98009147827. The reversal of 98009147772 is 27774190089.

98009147772 is a `hidden beast` number, since 9 + 80 + 0 + 91 + 477 + 7 + 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24481923 + ... + 24485925.

It is an arithmetic number, because the mean of its divisors is an integer number (1399157760).

Almost surely, 2^98009147772 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 98009147772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134319144960).

98009147772 is an abundant number, since it is smaller than the sum of its proper divisors (170629142148).

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

98009147772 is a wasteful number, since it uses less digits than its factorization.

98009147772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 98009147772 in words is "ninety-eight billion, nine million, one hundred forty-seven thousand, seven hundred seventy-two".