45412683678288 has 160 divisors (see below), whose sum is σ = 133303868006400. Its totient is φ = 14795540452224.

The previous prime is 45412683678211. The next prime is 45412683678337. The reversal of 45412683678288 is 88287638621454.

45412683678288 is a `hidden beast` number, since 4 + 5 + 412 + 68 + 3 + 6 + 78 + 2 + 88 = 666.

It is a super-2 number, since 2×45412683678288² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 13580733 + ... + 16591011.

It is an arithmetic number, because the mean of its divisors is an integer number (833149175040).

Almost surely, 2^{45412683678288} is an apocalyptic number.

45412683678288 is a gapful number since it is divisible by the number (48) 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 45412683678288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66651934003200).

45412683678288 is an abundant number, since it is smaller than the sum of its proper divisors (87891184328112).

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

45412683678288 is a wasteful number, since it uses less digits than its factorization.

45412683678288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011086 (or 3011074 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 45412683678288 in words is "forty-five trillion, four hundred twelve billion, six hundred eighty-three million, six hundred seventy-eight thousand, two hundred eighty-eight".