1376883916128 has 144 divisors (see below), whose sum is σ = 4475506482720. Its totient is φ = 393339691008.

The previous prime is 1376883916073. The next prime is 1376883916147. The reversal of 1376883916128 is 8216193886731.

1376883916128 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 8 + 8 + 3 + 9 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15416176 + ... + 15505232.

It is an arithmetic number, because the mean of its divisors is an integer number (31079906130).

Almost surely, 2^{1376883916128} is an apocalyptic number.

1376883916128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1376883916128 is an abundant number, since it is smaller than the sum of its proper divisors (3098622566592).

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

1376883916128 is a wasteful number, since it uses less digits than its factorization.

1376883916128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96749 (or 96738 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

It can be divided in two parts, 1376883 and 916128, that added together give a triangular number (2293011 = T₂₁₄₁).

The spelling of 1376883916128 in words is "one trillion, three hundred seventy-six billion, eight hundred eighty-three million, nine hundred sixteen thousand, one hundred twenty-eight".