36497656086241 has 9 divisors (see below), whose sum is σ = 42456506273649. Its totient is φ = 31283668968804.

The previous prime is 36497656086211. The next prime is 36497656086257. The reversal of 36497656086241 is 14268065679463.

It is a happy number.

The square root of 36497656086241 is 6041329.

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

It is not a de Polignac number, because 36497656086241 - 2⁵ = 36497656086209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36497656086211) 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, 41857780 + ... + 42720826.

It is an arithmetic number, because the mean of its divisors is an integer number (4717389585961).

It is a 1-persistent number, because it is pandigital, but 2⋅36497656086241 = 72995312172482 is not.

Almost surely, 2^{36497656086241} is an apocalyptic number.

36497656086241 is the 6041329-th square number.

36497656086241 is the 3020665-th centered octagonal number.

It is an amenable number.

36497656086241 is a deficient number, since it is larger than the sum of its proper divisors (5958850187408).

36497656086241 is an frugal number, since it uses more digits than its factorization.

36497656086241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726108 (or 863054 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 67.

The spelling of 36497656086241 in words is "thirty-six trillion, four hundred ninety-seven billion, six hundred fifty-six million, eighty-six thousand, two hundred forty-one".