45761182479738 has 384 divisors, whose sum is σ = 117401910312960. Its totient is φ = 12728884008960.

The previous prime is 45761182479713. The next prime is 45761182479757. The reversal of 45761182479738 is 83797428116754.

It is a happy number.

45761182479738 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 1 + 1 + 82 + 479 + 73 + 8 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6120256056 + ... + 6120263532.

It is an arithmetic number, because the mean of its divisors is an integer number (305734141440).

Almost surely, 2^{45761182479738} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45761182479738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58700955156480).

45761182479738 is an abundant number, since it is smaller than the sum of its proper divisors (71640727833222).

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

45761182479738 is a wasteful number, since it uses less digits than its factorization.

45761182479738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7879 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 45761182479738 in words is "forty-five trillion, seven hundred sixty-one billion, one hundred eighty-two million, four hundred seventy-nine thousand, seven hundred thirty-eight".