97446136320 has 800 divisors, whose sum is σ = 386422798608. Its totient is φ = 23314563072.

The previous prime is 97446136309. The next prime is 97446136321. The reversal of 97446136320 is 2363164479.

97446136320 is a `hidden beast` number, since 9 + 7 + 4 + 4 + 6 + 1 + 3 + 632 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69975062784 + 27471073536 = 264528^2 + 165744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97446136321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99739672 + ... + 99740648.

Almost surely, 2^97446136320 is an apocalyptic number.

97446136320 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 97446136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193211399304).

97446136320 is an abundant number, since it is smaller than the sum of its proper divisors (288976662288).

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

97446136320 is a wasteful number, since it uses less digits than its factorization.

97446136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 97446136320 in words is "ninety-seven billion, four hundred forty-six million, one hundred thirty-six thousand, three hundred twenty".