45743260000 has 480 divisors, whose sum is σ = 128455256160. Its totient is φ = 15925248000.

The previous prime is 45743259973. The next prime is 45743260103. The reversal of 45743260000 is 6234754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 471579952 + ... + 471580048.

It is an arithmetic number, because the mean of its divisors is an integer number (267615117).

Almost surely, 2^45743260000 is an apocalyptic number.

45743260000 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 45743260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64227628080).

45743260000 is an abundant number, since it is smaller than the sum of its proper divisors (82711996160).

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

45743260000 is a wasteful number, since it uses less digits than its factorization.

45743260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 45743260000 its reverse (6234754), we get a palindrome (45749494754).

The spelling of 45743260000 in words is "forty-five billion, seven hundred forty-three million, two hundred sixty thousand".