201496845456 has 225 divisors, whose sum is σ = 601162075899. Its totient is φ = 65156410368.

The previous prime is 201496845439. The next prime is 201496845461. The reversal of 201496845456 is 654548694102.

It is a happy number.

The square root of 201496845456 is 448884.

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

201496845456 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 96 + 8 + 4 + 545 + 6 = 666.

201496845456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9232135056 + 192264710400 = 96084^2 + 438480^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 597913320 + ... + 597913656.

Almost surely, 2^201496845456 is an apocalyptic number.

201496845456 is the 448884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201496845456

201496845456 is an abundant number, since it is smaller than the sum of its proper divisors (399665230443).

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

201496845456 is an frugal number, since it uses more digits than its factorization.

201496845456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 201496845456 in words is "two hundred one billion, four hundred ninety-six million, eight hundred forty-five thousand, four hundred fifty-six".