66451161046200 has 384 divisors, whose sum is σ = 247981032960000. Its totient is φ = 14698872921600.

The previous prime is 66451161046139. The next prime is 66451161046273. The reversal of 66451161046200 is 264016115466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171866 + ... + 11587734.

It is an arithmetic number, because the mean of its divisors is an integer number (645783940000).

Almost surely, 2^{66451161046200} is an apocalyptic number.

66451161046200 is a gapful number since it is divisible by the number (60) 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 66451161046200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123990516480000).

66451161046200 is an abundant number, since it is smaller than the sum of its proper divisors (181529871913800).

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

66451161046200 is a wasteful number, since it uses less digits than its factorization.

66451161046200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415940 (or 10415917 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 66451161046200 in words is "sixty-six trillion, four hundred fifty-one billion, one hundred sixty-one million, forty-six thousand, two hundred".