45729258414 has 64 divisors (see below), whose sum is σ = 106299863040. Its totient is φ = 12843774720.

The previous prime is 45729258413. The next prime is 45729258433. The reversal of 45729258414 is 41485292754.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45729258413) 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, 5486202 + ... + 5494530.

It is an arithmetic number, because the mean of its divisors is an integer number (1660935360).

Almost surely, 2^45729258414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45729258414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53149931520).

45729258414 is an abundant number, since it is smaller than the sum of its proper divisors (60570604626).

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

45729258414 is a wasteful number, since it uses less digits than its factorization.

45729258414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10545.

The product of its digits is 3225600, while the sum is 51.

The spelling of 45729258414 in words is "forty-five billion, seven hundred twenty-nine million, two hundred fifty-eight thousand, four hundred fourteen".