97097785344 has 1008 divisors, whose sum is σ = 366958229760. Its totient is φ = 25268060160.

The previous prime is 97097785339. The next prime is 97097785349. The reversal of 97097785344 is 44358779079.

97097785344 is a `hidden beast` number, since 9 + 7 + 0 + 97 + 7 + 8 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (97097785339) and next prime (97097785349).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (97097785349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3132186609 + ... + 3132186639.

Almost surely, 2^97097785344 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 97097785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183479114880).

97097785344 is an abundant number, since it is smaller than the sum of its proper divisors (269860444416).

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

97097785344 is a wasteful number, since it uses less digits than its factorization.

97097785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 97097785344 in words is "ninety-seven billion, ninety-seven million, seven hundred eighty-five thousand, three hundred forty-four".