97494868854601 has 9 divisors (see below), whose sum is σ = 100972984755253. Its totient is φ = 94132700354560.

The previous prime is 97494868854547. The next prime is 97494868854611. The reversal of 97494868854601 is 10645886849479.

The square root of 97494868854601 is 9873949.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23702301987001 + 73792566867600 = 4868501^2 + 8590260^2 .

It is not a de Polignac number, because 97494868854601 - 2³⁷ = 97357429901129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97494868854611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 286174281 + ... + 286514761.

Almost surely, 2^{97494868854601} is an apocalyptic number.

97494868854601 is the 9873949-th square number.

97494868854601 is the 4936975-th centered octagonal number.

It is an amenable number.

97494868854601 is a deficient number, since it is larger than the sum of its proper divisors (3478115900652).

97494868854601 is an frugal number, since it uses more digits than its factorization.

97494868854601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681020 (or 340510 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 79.

The spelling of 97494868854601 in words is "ninety-seven trillion, four hundred ninety-four billion, eight hundred sixty-eight million, eight hundred fifty-four thousand, six hundred one".