66013459890048 has 768 divisors, whose sum is σ = 219721170240000. Its totient is φ = 18814087987200.

The previous prime is 66013459890017. The next prime is 66013459890071. The reversal of 66013459890048 is 84009895431066.

66013459890048 is a `hidden beast` number, since 6 + 6 + 0 + 1 + 34 + 598 + 9 + 0 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×66013459890048² (a number of 28 digits) contains 22 as substring.

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, 20831005008 + ... + 20831008176.

It is an arithmetic number, because the mean of its divisors is an integer number (286095273750).

Almost surely, 2^{66013459890048} 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 66013459890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109860585120000).

66013459890048 is an abundant number, since it is smaller than the sum of its proper divisors (153707710349952).

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

66013459890048 is a wasteful number, since it uses less digits than its factorization.

66013459890048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 66013459890048 in words is "sixty-six trillion, thirteen billion, four hundred fifty-nine million, eight hundred ninety thousand, forty-eight".