89337430615104 has 567 divisors, whose sum is σ = 300920128770807. Its totient is φ = 25266831303168.

The previous prime is 89337430615093. The next prime is 89337430615127. The reversal of 89337430615104 is 40151603473398.

The square root of 89337430615104 is 9451848.

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

89337430615104 is a `hidden beast` number, since 8 + 9 + 3 + 3 + 7 + 4 + 3 + 0 + 615 + 10 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 201664628707 + ... + 201664629149.

Almost surely, 2^{89337430615104} is an apocalyptic number.

89337430615104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

89337430615104 is the 9451848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89337430615104

89337430615104 is an abundant number, since it is smaller than the sum of its proper divisors (211582698155703).

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

89337430615104 is an equidigital number, since it uses as much as digits as its factorization.

89337430615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 582 counting only the distinct ones).

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

The spelling of 89337430615104 in words is "eighty-nine trillion, three hundred thirty-seven billion, four hundred thirty million, six hundred fifteen thousand, one hundred four".