45413264811600 has 480 divisors, whose sum is σ = 186138849684480. Its totient is φ = 10300934592000.

The previous prime is 45413264811599. The next prime is 45413264811619. The reversal of 45413264811600 is 611846231454.

45413264811600 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 3 + 2 + 6 + 481 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7610835 + ... + 12196365.

It is an arithmetic number, because the mean of its divisors is an integer number (387789270176).

Almost surely, 2^{45413264811600} is an apocalyptic number.

45413264811600 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 45413264811600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93069424842240).

45413264811600 is an abundant number, since it is smaller than the sum of its proper divisors (140725584872880).

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

45413264811600 is a wasteful number, since it uses less digits than its factorization.

45413264811600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585696 (or 4585679 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45413264811600 in words is "forty-five trillion, four hundred thirteen billion, two hundred sixty-four million, eight hundred eleven thousand, six hundred".