36016225827904 has 189 divisors, whose sum is σ = 85931467774389. Its totient is φ = 14933284208640.

The previous prime is 36016225827889. The next prime is 36016225827919. The reversal of 36016225827904 is 40972852261063.

It is a happy number.

The square root of 36016225827904 is 6001352.

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

It is an interprime number because it is at equal distance from previous prime (36016225827889) and next prime (36016225827919).

It can be written as a sum of positive squares in only one way, i.e., 519033793600 + 35497192034304 = 720440^2 + 5957952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10418345344 + ... + 10418348800.

It is a 1-persistent number, because it is pandigital, but 2⋅36016225827904 = 72032451655808 is not.

Almost surely, 2^{36016225827904} is an apocalyptic number.

36016225827904 is the 6001352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36016225827904

36016225827904 is an abundant number, since it is smaller than the sum of its proper divisors (49915241946485).

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

36016225827904 is an frugal number, since it uses more digits than its factorization.

36016225827904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 36016225827904 in words is "thirty-six trillion, sixteen billion, two hundred twenty-five million, eight hundred twenty-seven thousand, nine hundred four".