45766438197120 has 768 divisors, whose sum is σ = 179515209182400. Its totient is φ = 11090374557696.

The previous prime is 45766438197113. The next prime is 45766438197121. The reversal of 45766438197120 is 2179183466754.

45766438197120 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 6 + 438 + 197 + 1 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45766438197121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76372902 + ... + 76969818.

It is a 2-persistent number, because it is pandigital, and so is 2⋅45766438197120 = 91532876394240, but 3⋅45766438197120 = 137299314591360 is not.

Almost surely, 2^{45766438197120} is an apocalyptic number.

45766438197120 is a gapful number since it is divisible by the number (40) 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 45766438197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89757604591200).

45766438197120 is an abundant number, since it is smaller than the sum of its proper divisors (133748770985280).

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

45766438197120 is a wasteful number, since it uses less digits than its factorization.

45766438197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596997 (or 596973 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 45766438197120 in words is "forty-five trillion, seven hundred sixty-six billion, four hundred thirty-eight million, one hundred ninety-seven thousand, one hundred twenty".