66122312256 has 1344 divisors, whose sum is σ = 273974722560. Its totient is φ = 15362887680.

The previous prime is 66122312239. The next prime is 66122312273. The reversal of 66122312256 is 65221322166.

66122312256 is a `hidden beast` number, since 6 + 612 + 2 + 3 + 12 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (66122312239) and next prime (66122312273).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66122312256.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 520648065 + ... + 520648191.

It is an arithmetic number, because the mean of its divisors is an integer number (203850240).

Almost surely, 2^66122312256 is an apocalyptic number.

66122312256 is a gapful number since it is divisible by the number (66) 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 66122312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136987361280).

66122312256 is an abundant number, since it is smaller than the sum of its proper divisors (207852410304).

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

66122312256 is a wasteful number, since it uses less digits than its factorization.

66122312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 66122312256 in words is "sixty-six billion, one hundred twenty-two million, three hundred twelve thousand, two hundred fifty-six".