1381948259328 has 704 divisors, whose sum is σ = 5302417792000. Its totient is φ = 345275301888.

The previous prime is 1381948259231. The next prime is 1381948259371. The reversal of 1381948259328 is 8239528491831.

1381948259328 is a `hidden beast` number, since 1 + 3 + 8 + 19 + 4 + 8 + 2 + 593 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47788938 + ... + 47817846.

Almost surely, 2^{1381948259328} is an apocalyptic number.

1381948259328 is a gapful number since it is divisible by the number (18) 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 1381948259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651208896000).

1381948259328 is an abundant number, since it is smaller than the sum of its proper divisors (3920469532672).

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

1381948259328 is a wasteful number, since it uses less digits than its factorization.

1381948259328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28977 (or 28953 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 1381948259328 in words is "one trillion, three hundred eighty-one billion, nine hundred forty-eight million, two hundred fifty-nine thousand, three hundred twenty-eight".