997185945600 has 1620 divisors, whose sum is σ = 4226216493114. Its totient is φ = 231022264320.

The previous prime is 997185945551. The next prime is 997185945619. The reversal of 997185945600 is 6549581799.

997185945600 is a `hidden beast` number, since 9 + 9 + 7 + 18 + 5 + 9 + 4 + 5 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 117852143616 + 879333801984 = 343296^2 + 937728^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 58657996792 + ... + 58657996808.

Almost surely, 2^997185945600 is an apocalyptic number.

997185945600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997185945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113108246557).

997185945600 is an abundant number, since it is smaller than the sum of its proper divisors (3229030547514).

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

997185945600 is an equidigital number, since it uses as much as digits as its factorization.

997185945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 997185945600 in words is "nine hundred ninety-seven billion, one hundred eighty-five million, nine hundred forty-five thousand, six hundred".