89013349440 has 252 divisors, whose sum is σ = 317935903116. Its totient is φ = 23736333312.

The previous prime is 89013349433. The next prime is 89013349471. The reversal of 89013349440 is 4494331098.

It is a happy number.

89013349440 is a `hidden beast` number, since 8 + 90 + 1 + 33 + 494 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42729850944 + 46283498496 = 206712^2 + 215136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2078322 + ... + 2120718.

Almost surely, 2^89013349440 is an apocalyptic number.

89013349440 is a gapful number since it is divisible by the number (80) 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 89013349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158967951558).

89013349440 is an abundant number, since it is smaller than the sum of its proper divisors (228922553676).

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

89013349440 is an frugal number, since it uses more digits than its factorization.

89013349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42438 (or 42407 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 89013349440 in words is "eighty-nine billion, thirteen million, three hundred forty-nine thousand, four hundred forty".