1378513216 has 28 divisors (see below), whose sum is σ = 2759709492. Its totient is φ = 683153408.

The previous prime is 1378513163. The next prime is 1378513217. The reversal of 1378513216 is 6123158731.

It can be written as a sum of positive squares in 2 ways, for example, as 295840000 + 1082673216 = 17200^2 + 32904^2 .

It is a super-4 number, since 4×1378513216⁴ (a number of 38 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378513217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88075 + ... + 102538.

Almost surely, 2^1378513216 is an apocalyptic number.

1378513216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1378513216 is an abundant number, since it is smaller than the sum of its proper divisors (1381196276).

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

1378513216 is a wasteful number, since it uses less digits than its factorization.

1378513216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190738 (or 190728 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 1378513216 is about 37128.3344091814. The cubic root of 1378513216 is about 1112.9363092058.

The spelling of 1378513216 in words is "one billion, three hundred seventy-eight million, five hundred thirteen thousand, two hundred sixteen".