89191537344 has 1008 divisors, whose sum is σ = 345915325440. Its totient is φ = 22417274880.

The previous prime is 89191537339. The next prime is 89191537349. The reversal of 89191537344 is 44373519198.

89191537344 is a `hidden beast` number, since 89 + 191 + 5 + 37 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (89191537339) and next prime (89191537349).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×89191537344² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (89191537349) 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, 329119929 + ... + 329120199.

Almost surely, 2^89191537344 is an apocalyptic number.

89191537344 is a gapful number since it is divisible by the number (84) 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 89191537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172957662720).

89191537344 is an abundant number, since it is smaller than the sum of its proper divisors (256723788096).

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

89191537344 is a wasteful number, since it uses less digits than its factorization.

89191537344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 319 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 89191537344 in words is "eighty-nine billion, one hundred ninety-one million, five hundred thirty-seven thousand, three hundred forty-four".