45423252000 has 1152 divisors, whose sum is σ = 203997201408. Its totient is φ = 9326592000.

The previous prime is 45423251989. The next prime is 45423252011. The reversal of 45423252000 is 25232454.

It is a happy number.

45423252000 is a `hidden beast` number, since 454 + 2 + 3 + 2 + 5 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45423251989) and next prime (45423252011).

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 191 ways as a sum of consecutive naturals, for example, 98531770 + ... + 98532230.

It is an arithmetic number, because the mean of its divisors is an integer number (177080904).

Almost surely, 2^45423252000 is an apocalyptic number.

45423252000 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 45423252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101998600704).

45423252000 is an abundant number, since it is smaller than the sum of its proper divisors (158573949408).

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

45423252000 is a wasteful number, since it uses less digits than its factorization.

45423252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 45423252000 its reverse (25232454), we get a palindrome (45448484454).

The spelling of 45423252000 in words is "forty-five billion, four hundred twenty-three million, two hundred fifty-two thousand".