89126346816 has 224 divisors, whose sum is σ = 291902083200. Its totient is φ = 26477660160.

The previous prime is 89126346769. The next prime is 89126346823. The reversal of 89126346816 is 61864362198.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583051 + ... + 719861.

It is an arithmetic number, because the mean of its divisors is an integer number (1303134300).

Almost surely, 2^89126346816 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 89126346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145951041600).

89126346816 is an abundant number, since it is smaller than the sum of its proper divisors (202775736384).

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

89126346816 is a wasteful number, since it uses less digits than its factorization.

89126346816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136874 (or 136858 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 89126346816 in words is "eighty-nine billion, one hundred twenty-six million, three hundred forty-six thousand, eight hundred sixteen".