66134656634656 has 96 divisors (see below), whose sum is σ = 140838604018560. Its totient is φ = 30463155081216.

The previous prime is 66134656634653. The next prime is 66134656634659. The reversal of 66134656634656 is 65643665643166.

It is an interprime number because it is at equal distance from previous prime (66134656634653) and next prime (66134656634659).

It is a junction number, because it is equal to n+sod(n) for n = 66134656634591 and 66134656634600.

It is not an unprimeable number, because it can be changed into a prime (66134656634653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39285960 + ... + 40934776.

It is an arithmetic number, because the mean of its divisors is an integer number (1467068791860).

Almost surely, 2^{66134656634656} 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 66134656634656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70419302009280).

66134656634656 is an abundant number, since it is smaller than the sum of its proper divisors (74703947383904).

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

66134656634656 is a wasteful number, since it uses less digits than its factorization.

66134656634656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650666 (or 1650658 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 67.

The spelling of 66134656634656 in words is "sixty-six trillion, one hundred thirty-four billion, six hundred fifty-six million, six hundred thirty-four thousand, six hundred fifty-six".