45141214020 has 192 divisors, whose sum is σ = 149112133632. Its totient is φ = 9988992000.

The previous prime is 45141214009. The next prime is 45141214031. The reversal of 45141214020 is 2041214154.

It is an interprime number because it is at equal distance from previous prime (45141214009) and next prime (45141214031).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2245815 + ... + 2265825.

It is an arithmetic number, because the mean of its divisors is an integer number (776625696).

Almost surely, 2^45141214020 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 45141214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74556066816).

45141214020 is an abundant number, since it is smaller than the sum of its proper divisors (103970919612).

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

45141214020 is a wasteful number, since it uses less digits than its factorization.

45141214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20202 (or 20200 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 45141214020 its reverse (2041214154), we get a palindrome (47182428174).

The spelling of 45141214020 in words is "forty-five billion, one hundred forty-one million, two hundred fourteen thousand, twenty".