45618320219472 has 1200 divisors, whose sum is σ = 180621731594304. Its totient is φ = 10926461952000.

The previous prime is 45618320219447. The next prime is 45618320219509. The reversal of 45618320219472 is 27491202381654.

It is a happy number.

45618320219472 is a `hidden beast` number, since 4 + 5 + 6 + 183 + 202 + 194 + 72 = 666.

It is a super-2 number, since 2×45618320219472² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12359337147 + ... + 12359340837.

It is a 1-persistent number, because it is pandigital, but 2⋅45618320219472 = 91236640438944 is not.

Almost surely, 2^{45618320219472} is an apocalyptic number.

45618320219472 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 45618320219472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90310865797152).

45618320219472 is an abundant number, since it is smaller than the sum of its proper divisors (135003411374832).

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

45618320219472 is a wasteful number, since it uses less digits than its factorization.

45618320219472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 45618320219472 in words is "forty-five trillion, six hundred eighteen billion, three hundred twenty million, two hundred nineteen thousand, four hundred seventy-two".