97008746629248 has 512 divisors, whose sum is σ = 327241031616000. Its totient is φ = 28107058839552.

The previous prime is 97008746629187. The next prime is 97008746629261. The reversal of 97008746629248 is 84292664780079.

97008746629248 is a `hidden beast` number, since 9 + 70 + 0 + 8 + 7 + 466 + 2 + 92 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 37949836 + ... + 40425332.

It is an arithmetic number, because the mean of its divisors is an integer number (639142639875).

Almost surely, 2^{97008746629248} 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 97008746629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163620515808000).

97008746629248 is an abundant number, since it is smaller than the sum of its proper divisors (230232284986752).

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

97008746629248 is a wasteful number, since it uses less digits than its factorization.

97008746629248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475589 (or 2475571 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 97008746629248 in words is "ninety-seven trillion, eight billion, seven hundred forty-six million, six hundred twenty-nine thousand, two hundred forty-eight".