89769295167344 has 80 divisors (see below), whose sum is σ = 188635323441600. Its totient is φ = 41138388787200.

The previous prime is 89769295167337. The next prime is 89769295167439. The reversal of 89769295167344 is 44376159296798.

It is a super-3 number, since 3×89769295167344³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81800669 + ... + 82890819.

It is an arithmetic number, because the mean of its divisors is an integer number (2357941543020).

Almost surely, 2^{89769295167344} 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 89769295167344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94317661720800).

89769295167344 is an abundant number, since it is smaller than the sum of its proper divisors (98866028274256).

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

89769295167344 is a wasteful number, since it uses less digits than its factorization.

89769295167344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092978 (or 1092972 counting only the distinct ones).

The product of its digits is 4938071040, while the sum is 80.

The spelling of 89769295167344 in words is "eighty-nine trillion, seven hundred sixty-nine billion, two hundred ninety-five million, one hundred sixty-seven thousand, three hundred forty-four".