664622171136 has 1056 divisors, whose sum is σ = 2505928884480. Its totient is φ = 170311680000.

The previous prime is 664622171131. The next prime is 664622171141. The reversal of 664622171136 is 631171226466.

664622171136 is a `hidden beast` number, since 6 + 6 + 4 + 622 + 1 + 7 + 1 + 13 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (664622171131) and next prime (664622171141).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 664622171091 and 664622171100.

It is not an unprimeable number, because it can be changed into a prime (664622171131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2365203316 + ... + 2365203596.

Almost surely, 2^664622171136 is an apocalyptic number.

664622171136 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 664622171136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252964442240).

664622171136 is an abundant number, since it is smaller than the sum of its proper divisors (1841306713344).

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

664622171136 is a wasteful number, since it uses less digits than its factorization.

664622171136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 405 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 664622171136 in words is "six hundred sixty-four billion, six hundred twenty-two million, one hundred seventy-one thousand, one hundred thirty-six".