45543564000 has 576 divisors, whose sum is σ = 180153372672. Its totient is φ = 10801536000.

The previous prime is 45543563987. The next prime is 45543564041. The reversal of 45543564000 is 46534554.

45543564000 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 3 + 5 + 640 + 0 + 0 = 666.

It is a super-5 number, since 5×45543564000⁵ (a number of 54 digits) contains 55555 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18610777 + ... + 18613223.

It is an arithmetic number, because the mean of its divisors is an integer number (312766272).

Almost surely, 2^45543564000 is an apocalyptic number.

45543564000 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 45543564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90076686336).

45543564000 is an abundant number, since it is smaller than the sum of its proper divisors (134609808672).

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

45543564000 is a wasteful number, since it uses less digits than its factorization.

45543564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 45543564000 in words is "forty-five billion, five hundred forty-three million, five hundred sixty-four thousand".