45435341354130 has 288 divisors, whose sum is σ = 148009851990000. Its totient is φ = 9585032776704.

The previous prime is 45435341354129. The next prime is 45435341354131. The reversal of 45435341354130 is 3145314353454.

45435341354130 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 53 + 413 + 54 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (45435341354129) and next prime (45435341354131).

It can be written as a sum of positive squares in 8 ways, for example, as 26957061296361 + 18478280057769 = 5192019^2 + 4298637^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45435341354131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 446492496 + ... + 446594244.

Almost surely, 2^{45435341354130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45435341354130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74004925995000).

45435341354130 is an abundant number, since it is smaller than the sum of its proper divisors (102574510635870).

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

45435341354130 is a wasteful number, since it uses less digits than its factorization.

45435341354130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109578 (or 109568 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 45435341354130 in words is "forty-five trillion, four hundred thirty-five billion, three hundred forty-one million, three hundred fifty-four thousand, one hundred thirty".