1413136072516 has 243 divisors, whose sum is σ = 3140787485367. Its totient is φ = 554625066240.

The previous prime is 1413136072501. The next prime is 1413136072529. The reversal of 1413136072516 is 6152706313141.

It is a happy number.

The square root of 1413136072516 is 1188754.

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

It can be written as a sum of positive squares in 4 ways, for example, as 176858938116 + 1236277134400 = 420546^2 + 1111880^2 .

It is a super-2 number, since 2×1413136072516² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12964551070 + ... + 12964551178.

Almost surely, 2^{1413136072516} is an apocalyptic number.

1413136072516 is the 1188754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413136072516

1413136072516 is an abundant number, since it is smaller than the sum of its proper divisors (1727651412851).

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

1413136072516 is a wasteful number, since it uses less digits than its factorization.

1413136072516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 1413136072516 in words is "one trillion, four hundred thirteen billion, one hundred thirty-six million, seventy-two thousand, five hundred sixteen".