93497449113600 has 4608 divisors, whose sum is σ = 411813642240000. Its totient is φ = 18598035456000.

The previous prime is 93497449113599. The next prime is 93497449113641. The reversal of 93497449113600 is 631194479439.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 383 ways as a sum of consecutive naturals, for example, 713720985535 + ... + 713720985665.

It is an arithmetic number, because the mean of its divisors is an integer number (89369280000).

Almost surely, 2^{93497449113600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93497449113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205906821120000).

93497449113600 is an abundant number, since it is smaller than the sum of its proper divisors (318316193126400).

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

93497449113600 is a wasteful number, since it uses less digits than its factorization.

93497449113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 93497449113600 in words is "ninety-three trillion, four hundred ninety-seven billion, four hundred forty-nine million, one hundred thirteen thousand, six hundred".