45771282955296 has 192 divisors, whose sum is σ = 140558224060800. Its totient is φ = 14450761387008.

The previous prime is 45771282955247. The next prime is 45771282955297. The reversal of 45771282955296 is 69255928217754.

It is a happy number.

45771282955296 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 1 + 2 + 8 + 2 + 95 + 529 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45771282955297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71468370 + ... + 72105966.

It is an arithmetic number, because the mean of its divisors is an integer number (732074083650).

Almost surely, 2^{45771282955296} 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 45771282955296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70279112030400).

45771282955296 is an abundant number, since it is smaller than the sum of its proper divisors (94786941105504).

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

45771282955296 is a wasteful number, since it uses less digits than its factorization.

45771282955296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642008 (or 641994 counting only the distinct ones).

The product of its digits is 762048000, while the sum is 72.

The spelling of 45771282955296 in words is "forty-five trillion, seven hundred seventy-one billion, two hundred eighty-two million, nine hundred fifty-five thousand, two hundred ninety-six".