97449187968 has 512 divisors, whose sum is σ = 333123840000. Its totient is φ = 27752693760.

The previous prime is 97449187943. The next prime is 97449187973. The reversal of 97449187968 is 86978194479.

97449187968 is a `hidden beast` number, since 9 + 7 + 4 + 491 + 8 + 79 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 97449187896 and 97449187905.

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, 51586768 + ... + 51588656.

It is an arithmetic number, because the mean of its divisors is an integer number (650632500).

Almost surely, 2^97449187968 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 97449187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920000).

97449187968 is an abundant number, since it is smaller than the sum of its proper divisors (235674652032).

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

97449187968 is a wasteful number, since it uses less digits than its factorization.

97449187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1987 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 97449187968 in words is "ninety-seven billion, four hundred forty-nine million, one hundred eighty-seven thousand, nine hundred sixty-eight".