97994041600 has 729 divisors, whose sum is σ = 312794532603. Its totient is φ = 30292254720.

The previous prime is 97994041571. The next prime is 97994041601. The reversal of 97994041600 is 614049979.

The square root of 97994041600 is 313040.

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 25258109184 + 72735932416 = 158928^2 + 269696^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (97994041601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2278931179 + ... + 2278931221.

Almost surely, 2^97994041600 is an apocalyptic number.

97994041600 is the 313040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97994041600

97994041600 is an abundant number, since it is smaller than the sum of its proper divisors (214800491003).

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

97994041600 is a wasteful number, since it uses less digits than its factorization.

97994041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 97994041600 by its sum of digits (49), we get a square (4801708038400 = 2191280²).

97994041600 divided by its sum of digits (49) gives a square (1999878400 = 44720²).

The spelling of 97994041600 in words is "ninety-seven billion, nine hundred ninety-four million, forty-one thousand, six hundred".