94348133527680 has 512 divisors, whose sum is σ = 342370596960000. Its totient is φ = 24540767354880.

The previous prime is 94348133527667. The next prime is 94348133527717. The reversal of 94348133527680 is 8672533184349.

It is a happy number.

94348133527680 is a `hidden beast` number, since 9 + 4 + 3 + 48 + 1 + 3 + 3 + 527 + 68 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4413111231 + ... + 4413132609.

It is a 1-persistent number, because it is pandigital, but 2⋅94348133527680 = 188696267055360 is not.

Almost surely, 2^{94348133527680} is an apocalyptic number.

94348133527680 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 94348133527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171185298480000).

94348133527680 is an abundant number, since it is smaller than the sum of its proper divisors (248022463432320).

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

94348133527680 is a wasteful number, since it uses less digits than its factorization.

94348133527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27677 (or 27659 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 94348133527680 in words is "ninety-four trillion, three hundred forty-eight billion, one hundred thirty-three million, five hundred twenty-seven thousand, six hundred eighty".