93342748800 has 384 divisors, whose sum is σ = 359551272960. Its totient is φ = 20838666240.

The previous prime is 93342748799. The next prime is 93342748823. The reversal of 93342748800 is 884724339.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 93342748800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2873449 + ... + 2905751.

It is an arithmetic number, because the mean of its divisors is an integer number (936331440).

Almost surely, 2^93342748800 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 93342748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179775636480).

93342748800 is an abundant number, since it is smaller than the sum of its proper divisors (266208524160).

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

93342748800 is a wasteful number, since it uses less digits than its factorization.

93342748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32380 (or 32363 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 93342748800 in words is "ninety-three billion, three hundred forty-two million, seven hundred forty-eight thousand, eight hundred".