34666144128 has 640 divisors, whose sum is σ = 129881283840. Its totient is φ = 8916480000.

The previous prime is 34666144087. The next prime is 34666144171. The reversal of 34666144128 is 82144166643.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138112003 + ... + 138112253.

It is an arithmetic number, because the mean of its divisors is an integer number (202939506).

Almost surely, 2^34666144128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34666144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64940641920).

34666144128 is an abundant number, since it is smaller than the sum of its proper divisors (95215139712).

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

34666144128 is a wasteful number, since it uses less digits than its factorization.

34666144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 447 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 34666144128 in words is "thirty-four billion, six hundred sixty-six million, one hundred forty-four thousand, one hundred twenty-eight".