45425642220 has 288 divisors, whose sum is σ = 164156848128. Its totient is φ = 9950916096.

The previous prime is 45425642173. The next prime is 45425642221. The reversal of 45425642220 is 2224652454.

45425642220 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 5 + 642 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45425642221) by changing a digit.

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, 3116269 + ... + 3130811.

It is an arithmetic number, because the mean of its divisors is an integer number (569989056).

Almost surely, 2^45425642220 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 45425642220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82078424064).

45425642220 is an abundant number, since it is smaller than the sum of its proper divisors (118731205908).

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

45425642220 is a wasteful number, since it uses less digits than its factorization.

45425642220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14669 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 45425642220 in words is "forty-five billion, four hundred twenty-five million, six hundred forty-two thousand, two hundred twenty".