1378905308928 has 864 divisors, whose sum is σ = 4890098304000. Its totient is φ = 372795236352.

The previous prime is 1378905308917. The next prime is 1378905308929. The reversal of 1378905308928 is 8298035098731.

1378905308928 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 9 + 0 + 530 + 8 + 92 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378905308929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1944859038 + ... + 1944859746.

It is an arithmetic number, because the mean of its divisors is an integer number (5659836000).

Almost surely, 2^{1378905308928} is an apocalyptic number.

1378905308928 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 1378905308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445049152000).

1378905308928 is an abundant number, since it is smaller than the sum of its proper divisors (3511192995072).

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

1378905308928 is a wasteful number, since it uses less digits than its factorization.

1378905308928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1378905308928 in words is "one trillion, three hundred seventy-eight billion, nine hundred five million, three hundred eight thousand, nine hundred twenty-eight".