289374968064 has 288 divisors, whose sum is σ = 949121752320. Its totient is φ = 76219416576.

The previous prime is 289374968039. The next prime is 289374968083. The reversal of 289374968064 is 460869473982.

It is a junction number, because it is equal to n+sod(n) for n = 289374967986 and 289374968004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64923724 + ... + 64928180.

It is an arithmetic number, because the mean of its divisors is an integer number (3295561640).

Almost surely, 2^289374968064 is an apocalyptic number.

289374968064 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 289374968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474560876160).

289374968064 is an abundant number, since it is smaller than the sum of its proper divisors (659746784256).

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

289374968064 is a wasteful number, since it uses less digits than its factorization.

289374968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 289374968064 in words is "two hundred eighty-nine billion, three hundred seventy-four million, nine hundred sixty-eight thousand, sixty-four".