89194113792 has 288 divisors, whose sum is σ = 319177958400. Its totient is φ = 23984750592.

The previous prime is 89194113719. The next prime is 89194113793. The reversal of 89194113792 is 29731149198.

89194113792 is a `hidden beast` number, since 89 + 194 + 1 + 1 + 379 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89194113793) 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, 768309 + ... + 876747.

It is an arithmetic number, because the mean of its divisors is an integer number (1108256800).

Almost surely, 2^89194113792 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 89194113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159588979200).

89194113792 is an abundant number, since it is smaller than the sum of its proper divisors (229983844608).

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

89194113792 is a wasteful number, since it uses less digits than its factorization.

89194113792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108488 (or 108468 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The spelling of 89194113792 in words is "eighty-nine billion, one hundred ninety-four million, one hundred thirteen thousand, seven hundred ninety-two".