1445644167660 has 1440 divisors, whose sum is σ = 6086554467840. Its totient is φ = 280575187200.

The previous prime is 1445644167659. The next prime is 1445644167697. The reversal of 1445644167660 is 667614465441.

1445644167660 is a `hidden beast` number, since 1 + 4 + 4 + 564 + 4 + 1 + 6 + 76 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1445644167597 and 1445644167606.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 20361185425 + ... + 20361185495.

It is an arithmetic number, because the mean of its divisors is an integer number (4226773936).

Almost surely, 2^{1445644167660} is an apocalyptic number.

1445644167660 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 1445644167660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043277233920).

1445644167660 is an abundant number, since it is smaller than the sum of its proper divisors (4640910300180).

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

1445644167660 is a wasteful number, since it uses less digits than its factorization.

1445644167660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 1445644167660 in words is "one trillion, four hundred forty-five billion, six hundred forty-four million, one hundred sixty-seven thousand, six hundred sixty".