1445746752 has 224 divisors, whose sum is σ = 4441789440. Its totient is φ = 460615680.

The previous prime is 1445746717. The next prime is 1445746777. The reversal of 1445746752 is 2576475441.

1445746752 is a `hidden beast` number, since 1 + 4 + 4 + 574 + 6 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1445746698 and 1445746707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7338718 + ... + 7338914.

Almost surely, 2^1445746752 is an apocalyptic number.

1445746752 is a gapful number since it is divisible by the number (12) 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 1445746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220894720).

1445746752 is an abundant number, since it is smaller than the sum of its proper divisors (2996042688).

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

1445746752 is a wasteful number, since it uses less digits than its factorization.

1445746752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 1445746752 is about 38022.9766325573. The cubic root of 1445746752 is about 1130.7434353902.

The spelling of 1445746752 in words is "one billion, four hundred forty-five million, seven hundred forty-six thousand, seven hundred fifty-two".