138812413569424 has 45 divisors (see below), whose sum is σ = 312859844002881. Its totient is φ = 59490893004480.

The previous prime is 138812413569413. The next prime is 138812413569433. The reversal of 138812413569424 is 424965314218831.

The square root of 138812413569424 is 11781868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75960498043024 + 62851915526400 = 8715532^2 + 7927920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 329681914 + ... + 330102694.

Almost surely, 2^{138812413569424} is an apocalyptic number.

138812413569424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138812413569424 is the 11781868-th square number.

It is an amenable number.

138812413569424 is an abundant number, since it is smaller than the sum of its proper divisors (174047430433457).

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

138812413569424 is an frugal number, since it uses more digits than its factorization.

138812413569424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841584 (or 420790 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 61.

The spelling of 138812413569424 in words is "one hundred thirty-eight trillion, eight hundred twelve billion, four hundred thirteen million, five hundred sixty-nine thousand, four hundred twenty-four".