93133413672 has 128 divisors (see below), whose sum is σ = 252607488000. Its totient is φ = 28613295360.

The previous prime is 93133413641. The next prime is 93133413673. The reversal of 93133413672 is 27631433139.

It is not an unprimeable number, because it can be changed into a prime (93133413673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67438422 + ... + 67439802.

It is an arithmetic number, because the mean of its divisors is an integer number (1973496000).

Almost surely, 2^93133413672 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 93133413672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126303744000).

93133413672 is an abundant number, since it is smaller than the sum of its proper divisors (159474074328).

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

93133413672 is a wasteful number, since it uses less digits than its factorization.

93133413672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2678 counting only the distinct ones).

The product of its digits is 244944, while the sum is 42.

The spelling of 93133413672 in words is "ninety-three billion, one hundred thirty-three million, four hundred thirteen thousand, six hundred seventy-two".