659149811712 has 1248 divisors, whose sum is σ = 2461219098624. Its totient is φ = 165622579200.

The previous prime is 659149811693. The next prime is 659149811791. The reversal of 659149811712 is 217118941956.

659149811712 is a `hidden beast` number, since 6 + 591 + 49 + 8 + 1 + 1 + 7 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5031677887 + ... + 5031678017.

It is an arithmetic number, because the mean of its divisors is an integer number (1972130688).

Almost surely, 2^659149811712 is an apocalyptic number.

659149811712 is a gapful number since it is divisible by the number (62) 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 659149811712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230609549312).

659149811712 is an abundant number, since it is smaller than the sum of its proper divisors (1802069286912).

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

659149811712 is a wasteful number, since it uses less digits than its factorization.

659149811712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The spelling of 659149811712 in words is "six hundred fifty-nine billion, one hundred forty-nine million, eight hundred eleven thousand, seven hundred twelve".