200152443456 has 189 divisors, whose sum is σ = 667616984931. Its totient is φ = 57164937984.

The previous prime is 200152443443. The next prime is 200152443457. The reversal of 200152443456 is 654344251002.

The square root of 200152443456 is 447384.

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

200152443456 is a `hidden beast` number, since 20 + 0 + 152 + 4 + 434 + 56 = 666.

It is a super-2 number, since 2×200152443456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 200152443456.

It is not an unprimeable number, because it can be changed into a prime (200152443457) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75159181 + ... + 75161843.

Almost surely, 2^200152443456 is an apocalyptic number.

200152443456 is the 447384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200152443456

200152443456 is an abundant number, since it is smaller than the sum of its proper divisors (467464541475).

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

200152443456 is an frugal number, since it uses more digits than its factorization.

200152443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Multiplying 200152443456 by its sum of digits (36), we get a square (7205487964416 = 2684304²).

200152443456 divided by its sum of digits (36) gives a square (5559790096 = 74564²).

Adding to 200152443456 its reverse (654344251002), we get a palindrome (854496694458).

The spelling of 200152443456 in words is "two hundred billion, one hundred fifty-two million, four hundred forty-three thousand, four hundred fifty-six".