1396224432864 has 768 divisors, whose sum is σ = 4548120192000. Its totient is φ = 414879252480.

The previous prime is 1396224432859. The next prime is 1396224432919. The reversal of 1396224432864 is 4682344226931.

1396224432864 is a `hidden beast` number, since 1 + 3 + 9 + 622 + 4 + 4 + 3 + 2 + 8 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (11943936) is a multiple of the sum of its prime factors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 1396224432864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3316447374 + ... + 3316447794.

It is an arithmetic number, because the mean of its divisors is an integer number (5922031500).

Almost surely, 2^{1396224432864} 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 1396224432864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274060096000).

1396224432864 is an abundant number, since it is smaller than the sum of its proper divisors (3151895759136).

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

1396224432864 is a wasteful number, since it uses less digits than its factorization.

1396224432864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 1396224432864 in words is "one trillion, three hundred ninety-six billion, two hundred twenty-four million, four hundred thirty-two thousand, eight hundred sixty-four".