289116037373664 has 192 divisors, whose sum is σ = 784645396899840. Its totient is φ = 93165029867520.

The previous prime is 289116037373627. The next prime is 289116037373693. The reversal of 289116037373664 is 466373730611982.

It is a junction number, because it is equal to n+sod(n) for n = 289116037373595 and 289116037373604.

It is a congruent number.

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, 195012144 + ... + 196489104.

It is an arithmetic number, because the mean of its divisors is an integer number (4086694775520).

Almost surely, 2^{289116037373664} is an apocalyptic number.

289116037373664 is a gapful number since it is divisible by the number (24) 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 289116037373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392322698449920).

289116037373664 is an abundant number, since it is smaller than the sum of its proper divisors (495529359526176).

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

289116037373664 is a wasteful number, since it uses less digits than its factorization.

289116037373664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477593 (or 1477585 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 66.

The spelling of 289116037373664 in words is "two hundred eighty-nine trillion, one hundred sixteen billion, thirty-seven million, three hundred seventy-three thousand, six hundred sixty-four".