381378153149168 has 80 divisors (see below), whose sum is σ = 917601571645440. Its totient is φ = 149850256608000.

The previous prime is 381378153149101. The next prime is 381378153149207. The reversal of 381378153149168 is 861941351873183.

It is a junction number, because it is equal to n+sod(n) for n = 381378153149098 and 381378153149107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2890563983 + ... + 2890695918.

It is an arithmetic number, because the mean of its divisors is an integer number (11470019645568).

Almost surely, 2^{381378153149168} is an apocalyptic number.

381378153149168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

381378153149168 is an abundant number, since it is smaller than the sum of its proper divisors (536223418496272).

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

381378153149168 is a wasteful number, since it uses less digits than its factorization.

381378153149168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781259966 (or 5781259960 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 68.

The spelling of 381378153149168 in words is "three hundred eighty-one trillion, three hundred seventy-eight billion, one hundred fifty-three million, one hundred forty-nine thousand, one hundred sixty-eight".