45201141414 has 192 divisors, whose sum is σ = 121716241920. Its totient is φ = 11927139840.

The previous prime is 45201141389. The next prime is 45201141431. The reversal of 45201141414 is 41414110254.

It is a happy number.

45201141414 is a `hidden beast` number, since 4 + 5 + 201 + 1 + 41 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4316517 + ... + 4326975.

It is an arithmetic number, because the mean of its divisors is an integer number (633938760).

Almost surely, 2^45201141414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45201141414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60858120960).

45201141414 is an abundant number, since it is smaller than the sum of its proper divisors (76515100506).

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

45201141414 is a wasteful number, since it uses less digits than its factorization.

45201141414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10587 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 45201141414 its reverse (41414110254), we get a palindrome (86615251668).

The spelling of 45201141414 in words is "forty-five billion, two hundred one million, one hundred forty-one thousand, four hundred fourteen".