139412144373264 has 1215 divisors, whose sum is σ = 486813368213991. Its totient is φ = 37133461048320.

The previous prime is 139412144373241. The next prime is 139412144373277. The reversal of 139412144373264 is 462373441214931.

The square root of 139412144373264 is 11807292.

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

139412144373264 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 1 + 2 + 1 + 4 + 4 + 373 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29669591120400 + 109742553252864 = 5446980^2 + 10475808^2 .

It is a super-3 number, since 3×139412144373264³ (a number of 43 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 139412144373264.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1064214842479 + ... + 1064214842609.

Almost surely, 2^{139412144373264} is an apocalyptic number.

139412144373264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

139412144373264 is the 11807292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139412144373264

139412144373264 is an abundant number, since it is smaller than the sum of its proper divisors (347401223840727).

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

139412144373264 is a wasteful number, since it uses less digits than its factorization.

139412144373264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 209 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 139412144373264 in words is "one hundred thirty-nine trillion, four hundred twelve billion, one hundred forty-four million, three hundred seventy-three thousand, two hundred sixty-four".