290291114064 has 160 divisors (see below), whose sum is σ = 887534622720. Its totient is φ = 79996202496.

The previous prime is 290291114041. The next prime is 290291114107. The reversal of 290291114064 is 460411192092.

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, 9563199 + ... + 9593505.

It is an arithmetic number, because the mean of its divisors is an integer number (5547091392).

Almost surely, 2^290291114064 is an apocalyptic number.

290291114064 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 290291114064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443767311360).

290291114064 is an abundant number, since it is smaller than the sum of its proper divisors (597243508656).

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

290291114064 is a wasteful number, since it uses less digits than its factorization.

290291114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31337 (or 31331 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 290291114064 in words is "two hundred ninety billion, two hundred ninety-one million, one hundred fourteen thousand, sixty-four".