45218067494400 has 720 divisors, whose sum is σ = 174575248683264. Its totient is φ = 11134693539840.

The previous prime is 45218067494357. The next prime is 45218067494429. The reversal of 45218067494400 is 449476081254.

45218067494400 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 80 + 6 + 74 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×45218067494400² (a number of 28 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 103577377 + ... + 104013023.

Almost surely, 2^{45218067494400} is an apocalyptic number.

45218067494400 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 45218067494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87287624341632).

45218067494400 is an abundant number, since it is smaller than the sum of its proper divisors (129357181188864).

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

45218067494400 is a wasteful number, since it uses less digits than its factorization.

45218067494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435751 (or 435727 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 45218067494400 in words is "forty-five trillion, two hundred eighteen billion, sixty-seven million, four hundred ninety-four thousand, four hundred".