1378413269856 has 576 divisors, whose sum is σ = 4851471905280. Its totient is φ = 376652021760.

The previous prime is 1378413269801. The next prime is 1378413269867. The reversal of 1378413269856 is 6589623148731.

1378413269856 is a `hidden beast` number, since 13 + 78 + 413 + 2 + 6 + 98 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1378413269793 and 1378413269802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168898416 + ... + 168906576.

It is an arithmetic number, because the mean of its divisors is an integer number (8422694280).

Almost surely, 2^{1378413269856} is an apocalyptic number.

1378413269856 is a gapful number since it is divisible by the number (16) 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 1378413269856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425735952640).

1378413269856 is an abundant number, since it is smaller than the sum of its proper divisors (3473058635424).

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

1378413269856 is a wasteful number, since it uses less digits than its factorization.

1378413269856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8329 (or 8309 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 1378413269856 in words is "one trillion, three hundred seventy-eight billion, four hundred thirteen million, two hundred sixty-nine thousand, eight hundred fifty-six".