1338948382464 has 864 divisors, whose sum is σ = 5029786245120. Its totient is φ = 345105100800.

The previous prime is 1338948382417. The next prime is 1338948382487. The reversal of 1338948382464 is 4642838498331.

1338948382464 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 94 + 8 + 3 + 82 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1338948382464² (a number of 25 digits) contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 665811219 + ... + 665813229.

Almost surely, 2^{1338948382464} is an apocalyptic number.

1338948382464 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 1338948382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514893122560).

1338948382464 is an abundant number, since it is smaller than the sum of its proper divisors (3690837862656).

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

1338948382464 is a wasteful number, since it uses less digits than its factorization.

1338948382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2173 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 1338948382464 in words is "one trillion, three hundred thirty-eight billion, nine hundred forty-eight million, three hundred eighty-two thousand, four hundred sixty-four".