66113282586456 has 384 divisors, whose sum is σ = 208888656936960. Its totient is φ = 18499794508800.

The previous prime is 66113282586431. The next prime is 66113282586493. The reversal of 66113282586456 is 65468528231166.

66113282586456 is a `hidden beast` number, since 6 + 6 + 1 + 1 + 3 + 2 + 8 + 2 + 586 + 45 + 6 = 666.

It is a super-2 number, since 2×66113282586456² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 66113282586393 and 66113282586402.

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, 10542698601 + ... + 10542704871.

It is an arithmetic number, because the mean of its divisors is an integer number (543980877440).

Almost surely, 2^{66113282586456} 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 66113282586456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104444328468480).

66113282586456 is an abundant number, since it is smaller than the sum of its proper divisors (142775374350504).

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

66113282586456 is a wasteful number, since it uses less digits than its factorization.

66113282586456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7775 (or 7768 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 66113282586456 in words is "sixty-six trillion, one hundred thirteen billion, two hundred eighty-two million, five hundred eighty-six thousand, four hundred fifty-six".