36454606195225 has 81 divisors (see below), whose sum is σ = 46683041061501. Its totient is φ = 28239351436800.

The previous prime is 36454606195211. The next prime is 36454606195313. The reversal of 36454606195225 is 52259160645463.

The square root of 36454606195225 is 6037765.

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 1340401271049 + 35114204924176 = 1157757^2 + 5925724^2 .

It is not a de Polignac number, because 36454606195225 - 2⁷ = 36454606195097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36454606195225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 172770645370 + ... + 172770645580.

Almost surely, 2^{36454606195225} is an apocalyptic number.

36454606195225 is the 6037765-th square number.

36454606195225 is the 3018883-rd centered octagonal number.

It is an amenable number.

36454606195225 is a deficient number, since it is larger than the sum of its proper divisors (10228434866276).

36454606195225 is an frugal number, since it uses more digits than its factorization.

36454606195225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 58.

The spelling of 36454606195225 in words is "thirty-six trillion, four hundred fifty-four billion, six hundred six million, one hundred ninety-five thousand, two hundred twenty-five".