97011468313600 has 99 divisors (see below), whose sum is σ = 240474873005737. Its totient is φ = 38803956961280.

The previous prime is 97011468313567. The next prime is 97011468313619. The reversal of 97011468313600 is 631386411079.

The square root of 97011468313600 is 9849440.

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

It can be written as a sum of positive squares in only one way, i.e., 34924128592896 + 62087339720704 = 5909664^2 + 7879552^2 .

It is a super-2 number, since 2×97011468313600² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1575879621 + ... + 1575941179.

Almost surely, 2^{97011468313600} is an apocalyptic number.

97011468313600 is the 9849440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97011468313600

97011468313600 is an abundant number, since it is smaller than the sum of its proper divisors (143463404692137).

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

97011468313600 is an frugal number, since it uses more digits than its factorization.

97011468313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123148 (or 61566 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 97011468313600 in words is "ninety-seven trillion, eleven billion, four hundred sixty-eight million, three hundred thirteen thousand, six hundred".