36547248066624 has 63 divisors (see below), whose sum is σ = 104756503651293. Its totient is φ = 12182367658752.

The previous prime is 36547248066619. The next prime is 36547248066629. The reversal of 36547248066624 is 42666084274563.

The square root of 36547248066624 is 6045432.

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 (36547248066619) and next prime (36547248066629).

It can be written as a sum of positive squares in only one way, i.e., 24224115240000 + 12323132826624 = 4921800^2 + 3510432^2 .

It is not an unprimeable number, because it can be changed into a prime (36547248066629) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144964422 + ... + 145216314.

Almost surely, 2^{36547248066624} is an apocalyptic number.

36547248066624 is the 6045432-nd square number.

It is an amenable number.

36547248066624 is an abundant number, since it is smaller than the sum of its proper divisors (68209255584669).

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

36547248066624 is an frugal number, since it uses more digits than its factorization.

36547248066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503804 (or 251898 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 63.

The spelling of 36547248066624 in words is "thirty-six trillion, five hundred forty-seven billion, two hundred forty-eight million, sixty-six thousand, six hundred twenty-four".