1445991680 has 144 divisors (see below), whose sum is σ = 4015920384. Its totient is φ = 488570880.

The previous prime is 1445991671. The next prime is 1445991689. The reversal of 1445991680 is 861995441.

It is an interprime number because it is at equal distance from previous prime (1445991671) and next prime (1445991689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445991689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635024 + ... + 637296.

It is an arithmetic number, because the mean of its divisors is an integer number (27888336).

Almost surely, 2^1445991680 is an apocalyptic number.

1445991680 is a gapful number since it is divisible by the number (10) 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 1445991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007960192).

1445991680 is an abundant number, since it is smaller than the sum of its proper divisors (2569928704).

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

1445991680 is an equidigital number, since it uses as much as digits as its factorization.

1445991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 1445991680 is about 38026.1972855557. The cubic root of 1445991680 is about 1130.8072859204.

The spelling of 1445991680 in words is "one billion, four hundred forty-five million, nine hundred ninety-one thousand, six hundred eighty".