97468068145248 has 48 divisors (see below), whose sum is σ = 284281865426160. Its totient is φ = 32489356048128.

The previous prime is 97468068145243. The next prime is 97468068145271. The reversal of 97468068145248 is 84254186086479.

97468068145248 is a `hidden beast` number, since 9 + 7 + 4 + 6 + 80 + 6 + 8 + 14 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97468068145241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56405131165 + ... + 56405132892.

It is an arithmetic number, because the mean of its divisors is an integer number (5922538863045).

Almost surely, 2^{97468068145248} is an apocalyptic number.

It is an amenable number.

97468068145248 is an abundant number, since it is smaller than the sum of its proper divisors (186813797280912).

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

97468068145248 is a wasteful number, since it uses less digits than its factorization.

97468068145248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112810264076 (or 112810264062 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 97468068145248 in words is "ninety-seven trillion, four hundred sixty-eight billion, sixty-eight million, one hundred forty-five thousand, two hundred forty-eight".