97454649600 has 1944 divisors, whose sum is σ = 458634208032. Its totient is φ = 19508428800.

The previous prime is 97454649541. The next prime is 97454649619. The reversal of 97454649600 is 694645479.

It is a happy number.

97454649600 is a `hidden beast` number, since 9 + 7 + 4 + 546 + 4 + 96 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1334995164 + ... + 1334995236.

Almost surely, 2^97454649600 is an apocalyptic number.

97454649600 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 97454649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229317104016).

97454649600 is an abundant number, since it is smaller than the sum of its proper divisors (361179558432).

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

97454649600 is a wasteful number, since it uses less digits than its factorization.

97454649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 97454649600 in words is "ninety-seven billion, four hundred fifty-four million, six hundred forty-nine thousand, six hundred".