98291273472 has 720 divisors, whose sum is σ = 361025767872. Its totient is φ = 25958154240.

The previous prime is 98291273441. The next prime is 98291273497. The reversal of 98291273472 is 27437219289.

It is a happy number.

98291273472 is a `hidden beast` number, since 9 + 8 + 291 + 2 + 7 + 347 + 2 = 666.

It is a super-2 number, since 2×98291273472² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150522298 + ... + 150522950.

Almost surely, 2^98291273472 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 98291273472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180512883936).

98291273472 is an abundant number, since it is smaller than the sum of its proper divisors (262734494400).

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

98291273472 is a wasteful number, since it uses less digits than its factorization.

98291273472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 743 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 98291273472 in words is "ninety-eight billion, two hundred ninety-one million, two hundred seventy-three thousand, four hundred seventy-two".