93104466624 has 336 divisors, whose sum is σ = 300944280000. Its totient is φ = 27305828352.

The previous prime is 93104466607. The next prime is 93104466727. The reversal of 93104466624 is 42666440139.

It is a self number, because there is not a number n which added to its sum of digits gives 93104466624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60105402 + ... + 60106950.

It is an arithmetic number, because the mean of its divisors is an integer number (895667500).

Almost surely, 2^93104466624 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 93104466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150472140000).

93104466624 is an abundant number, since it is smaller than the sum of its proper divisors (207839813376).

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

93104466624 is a wasteful number, since it uses less digits than its factorization.

93104466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 93104466624 in words is "ninety-three billion, one hundred four million, four hundred sixty-six thousand, six hundred twenty-four".