436496221970064 has 135 divisors (see below), whose sum is σ = 1268522367410883. Its totient is φ = 145496484267552.

The previous prime is 436496221969991. The next prime is 436496221970099. The reversal of 436496221970064 is 460079122694634.

The square root of 436496221970064 is 20892492.

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

436496221970064 is a `hidden beast` number, since 4 + 3 + 6 + 496 + 2 + 2 + 19 + 70 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 436496221969983 and 436496221970010.

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, 6769135167 + ... + 6769199649.

Almost surely, 2^{436496221970064} is an apocalyptic number.

436496221970064 is the 20892492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 436496221970064

436496221970064 is an abundant number, since it is smaller than the sum of its proper divisors (832026145440819).

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

436496221970064 is an frugal number, since it uses more digits than its factorization.

436496221970064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128998 (or 64488 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 436496221970064 in words is "four hundred thirty-six trillion, four hundred ninety-six billion, two hundred twenty-one million, nine hundred seventy thousand, sixty-four".