97145669124 has 243 divisors, whose sum is σ = 294418212543. Its totient is φ = 26929324800.

The previous prime is 97145669119. The next prime is 97145669147. The reversal of 97145669124 is 42196654179.

The square root of 97145669124 is 311682.

It is a perfect power (a square), and thus also a powerful number.

97145669124 is a `hidden beast` number, since 9 + 7 + 1 + 456 + 69 + 124 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87153667524 + 9992001600 = 295218^2 + 99960^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 536716314 + ... + 536716494.

Almost surely, 2^97145669124 is an apocalyptic number.

97145669124 is the 311682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97145669124

97145669124 is an abundant number, since it is smaller than the sum of its proper divisors (197272543419).

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

97145669124 is a wasteful number, since it uses less digits than its factorization.

97145669124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 234 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 97145669124 in words is "ninety-seven billion, one hundred forty-five million, six hundred sixty-nine thousand, one hundred twenty-four".