45424874880 has 1536 divisors, whose sum is σ = 210252257280. Its totient is φ = 8758886400.

The previous prime is 45424874861. The next prime is 45424874899. The reversal of 45424874880 is 8847842454.

45424874880 is a `hidden beast` number, since 4 + 5 + 42 + 487 + 48 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (45424874861) and next prime (45424874899).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 622258524 + ... + 622258596.

It is an arithmetic number, because the mean of its divisors is an integer number (136882980).

Almost surely, 2^45424874880 is an apocalyptic number.

45424874880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45424874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105126128640).

45424874880 is an abundant number, since it is smaller than the sum of its proper divisors (164827382400).

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

45424874880 is a wasteful number, since it uses less digits than its factorization.

45424874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 45424874880 in words is "forty-five billion, four hundred twenty-four million, eight hundred seventy-four thousand, eight hundred eighty".