45242219520 has 660 divisors, whose sum is σ = 168793736760. Its totient is φ = 11584290816.

The previous prime is 45242219497. The next prime is 45242219537. The reversal of 45242219520 is 2591224254.

45242219520 is a `hidden beast` number, since 4 + 524 + 2 + 21 + 95 + 20 = 666.

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

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 59 ways as a sum of consecutive naturals, for example, 766817251 + ... + 766817309.

It is an arithmetic number, because the mean of its divisors is an integer number (255748086).

Almost surely, 2^45242219520 is an apocalyptic number.

45242219520 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 45242219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84396868380).

45242219520 is an abundant number, since it is smaller than the sum of its proper divisors (123551517240).

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

45242219520 is an equidigital number, since it uses as much as digits as its factorization.

45242219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45242219520 in words is "forty-five billion, two hundred forty-two million, two hundred nineteen thousand, five hundred twenty".