45074905843968 has 5184 divisors, whose sum is σ = 199062213369600. Its totient is φ = 9932577177600.

The previous prime is 45074905843909. The next prime is 45074905844071. The reversal of 45074905843968 is 86934850947054.

45074905843968 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 4 + 9 + 0 + 584 + 39 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45074905843896 and 45074905843905.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 617464463580 + ... + 617464463652.

Almost surely, 2^{45074905843968} is an apocalyptic number.

45074905843968 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 45074905843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99531106684800).

45074905843968 is an abundant number, since it is smaller than the sum of its proper divisors (153987307525632).

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

45074905843968 is a wasteful number, since it uses less digits than its factorization.

45074905843968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 45074905843968 in words is "forty-five trillion, seventy-four billion, nine hundred five million, eight hundred forty-three thousand, nine hundred sixty-eight".