45723359229024 has 192 divisors, whose sum is σ = 124747158896640. Its totient is φ = 14648300444160.

The previous prime is 45723359228999. The next prime is 45723359229077. The reversal of 45723359229024 is 42092295332754.

It is a Cunningham number, because it is equal to 6761905²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419183517 + ... + 419292579.

It is an arithmetic number, because the mean of its divisors is an integer number (649724785920).

Almost surely, 2^{45723359229024} 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 45723359229024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62373579448320).

45723359229024 is an abundant number, since it is smaller than the sum of its proper divisors (79023799667616).

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

45723359229024 is a wasteful number, since it uses less digits than its factorization.

45723359229024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110073 (or 110065 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 45723359229024 in words is "forty-five trillion, seven hundred twenty-three billion, three hundred fifty-nine million, two hundred twenty-nine thousand, twenty-four".