1364639893344 has 384 divisors, whose sum is σ = 4912159150080. Its totient is φ = 358916769792.

The previous prime is 1364639893343. The next prime is 1364639893367. The reversal of 1364639893344 is 4433989364631.

It is a happy number.

1364639893344 is a `hidden beast` number, since 1 + 3 + 64 + 63 + 98 + 93 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364639893343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28831362 + ... + 28878654.

It is an arithmetic number, because the mean of its divisors is an integer number (12792081120).

Almost surely, 2^{1364639893344} is an apocalyptic number.

1364639893344 is a gapful number since it is divisible by the number (14) 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 1364639893344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456079575040).

1364639893344 is an abundant number, since it is smaller than the sum of its proper divisors (3547519256736).

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

1364639893344 is a wasteful number, since it uses less digits than its factorization.

1364639893344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47699 (or 47685 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 63.

The spelling of 1364639893344 in words is "one trillion, three hundred sixty-four billion, six hundred thirty-nine million, eight hundred ninety-three thousand, three hundred forty-four".