45662418450432 has 288 divisors, whose sum is σ = 151385723798400. Its totient is φ = 12988923789312.

The previous prime is 45662418450409. The next prime is 45662418450433. The reversal of 45662418450432 is 23405481426654.

45662418450432 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 24 + 1 + 84 + 504 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45662418450433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28508919 + ... + 30067977.

It is an arithmetic number, because the mean of its divisors is an integer number (525644874300).

Almost surely, 2^{45662418450432} is an apocalyptic number.

45662418450432 is a gapful number since it is divisible by the number (42) 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 45662418450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75692861899200).

45662418450432 is an abundant number, since it is smaller than the sum of its proper divisors (105723305347968).

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

45662418450432 is a wasteful number, since it uses less digits than its factorization.

45662418450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559321 (or 1559298 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 45662418450432 in words is "forty-five trillion, six hundred sixty-two billion, four hundred eighteen million, four hundred fifty thousand, four hundred thirty-two".