93138269114880 has 1440 divisors, whose sum is σ = 376252569044352. Its totient is φ = 21203122913280.

The previous prime is 93138269114857. The next prime is 93138269114881. The reversal of 93138269114880 is 8841196283139.

93138269114880 is a `hidden beast` number, since 9 + 3 + 1 + 3 + 82 + 69 + 11 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (93138269114881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23838817887 + ... + 23838821793.

Almost surely, 2^{93138269114880} is an apocalyptic number.

93138269114880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93138269114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188126284522176).

93138269114880 is an abundant number, since it is smaller than the sum of its proper divisors (283114299929472).

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

93138269114880 is a wasteful number, since it uses less digits than its factorization.

93138269114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 93138269114880 in words is "ninety-three trillion, one hundred thirty-eight billion, two hundred sixty-nine million, one hundred fourteen thousand, eight hundred eighty".