1244896769664 has 384 divisors, whose sum is σ = 3793293504000. Its totient is φ = 391242055680.

The previous prime is 1244896769653. The next prime is 1244896769671. The reversal of 1244896769664 is 4669676984421.

1244896769664 is a `hidden beast` number, since 1 + 2 + 448 + 9 + 67 + 69 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1244896769592 and 1244896769601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207464829 + ... + 1207465859.

It is an arithmetic number, because the mean of its divisors is an integer number (9878368500).

Almost surely, 2^{1244896769664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244896769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896646752000).

1244896769664 is an abundant number, since it is smaller than the sum of its proper divisors (2548396734336).

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

1244896769664 is a wasteful number, since it uses less digits than its factorization.

1244896769664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1881 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 1244896769664 in words is "one trillion, two hundred forty-four billion, eight hundred ninety-six million, seven hundred sixty-nine thousand, six hundred sixty-four".