45740185344 has 432 divisors, whose sum is σ = 161319674880. Its totient is φ = 12172861440.

The previous prime is 45740185331. The next prime is 45740185349. The reversal of 45740185344 is 44358104754.

45740185344 is a `hidden beast` number, since 45 + 74 + 0 + 1 + 8 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45740185344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45740185349) 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, 18691129 + ... + 18693575.

Almost surely, 2^45740185344 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 45740185344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80659837440).

45740185344 is an abundant number, since it is smaller than the sum of its proper divisors (115579489536).

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

45740185344 is a wasteful number, since it uses less digits than its factorization.

45740185344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 45740185344 in words is "forty-five billion, seven hundred forty million, one hundred eighty-five thousand, three hundred forty-four".