45743940504 has 192 divisors, whose sum is σ = 136831718400. Its totient is φ = 13749523200.

The previous prime is 45743940503. The next prime is 45743940521. The reversal of 45743940504 is 40504934754.

45743940504 is a `hidden beast` number, since 4 + 5 + 74 + 39 + 40 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45743940504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45743940503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2578047 + ... + 2595729.

It is an arithmetic number, because the mean of its divisors is an integer number (712665200).

Almost surely, 2^45743940504 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 45743940504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68415859200).

45743940504 is an abundant number, since it is smaller than the sum of its proper divisors (91087777896).

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

45743940504 is a wasteful number, since it uses less digits than its factorization.

45743940504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17806 (or 17799 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 45743940504 in words is "forty-five billion, seven hundred forty-three million, nine hundred forty thousand, five hundred four".