36586142627904 has 441 divisors, whose sum is σ = 111734398495069. Its totient is φ = 11880512455680.

The previous prime is 36586142627899. The next prime is 36586142627911. The reversal of 36586142627904 is 40972624168563.

The square root of 36586142627904 is 6048648.

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

36586142627904 is a `hidden beast` number, since 3 + 6 + 5 + 8 + 614 + 2 + 6 + 2 + 7 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1762925373504 + 34823217254400 = 1327752^2 + 5901120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 53566826347 + ... + 53566827029.

It is a 1-persistent number, because it is pandigital, but 2⋅36586142627904 = 73172285255808 is not.

Almost surely, 2^{36586142627904} is an apocalyptic number.

36586142627904 is the 6048648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36586142627904

36586142627904 is an abundant number, since it is smaller than the sum of its proper divisors (75148255867165).

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

36586142627904 is an frugal number, since it uses more digits than its factorization.

36586142627904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 36586142627904 in words is "thirty-six trillion, five hundred eighty-six billion, one hundred forty-two million, six hundred twenty-seven thousand, nine hundred four".