4605633613476 has 243 divisors, whose sum is σ = 13928754845187. Its totient is φ = 1279403475840.

The previous prime is 4605633613463. The next prime is 4605633613499. The reversal of 4605633613476 is 6743163365064.

The square root of 4605633613476 is 2146074.

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

4605633613476 is a `hidden beast` number, since 4 + 6 + 0 + 563 + 3 + 6 + 1 + 3 + 4 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 730153160100 + 3875480453376 = 854490^2 + 1968624^2 .

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, 3334998306 + ... + 3334999686.

Almost surely, 2^{4605633613476} is an apocalyptic number.

4605633613476 is the 2146074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4605633613476

4605633613476 is an abundant number, since it is smaller than the sum of its proper divisors (9323121231711).

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

4605633613476 is a wasteful number, since it uses less digits than its factorization.

4605633613476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 4605633613476 in words is "four trillion, six hundred five billion, six hundred thirty-three million, six hundred thirteen thousand, four hundred seventy-six".