93345089789952 has 4032 divisors, whose sum is σ = 392748699611520. Its totient is φ = 21641350348800.

The previous prime is 93345089789873. The next prime is 93345089789971. The reversal of 93345089789952 is 25998798054339.

93345089789952 is a `hidden beast` number, since 9 + 3 + 3 + 450 + 8 + 9 + 78 + 9 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×93345089789952² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 826062741448 + ... + 826062741560.

It is an arithmetic number, because the mean of its divisors is an integer number (97407911610).

Almost surely, 2^{93345089789952} 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 93345089789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196374349805760).

93345089789952 is an abundant number, since it is smaller than the sum of its proper divisors (299403609821568).

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

93345089789952 is a wasteful number, since it uses less digits than its factorization.

93345089789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

The spelling of 93345089789952 in words is "ninety-three trillion, three hundred forty-five billion, eighty-nine million, seven hundred eighty-nine thousand, nine hundred fifty-two".