200249090064 has 135 divisors (see below), whose sum is σ = 568142867773. Its totient is φ = 65842182912.

The previous prime is 200249090059. The next prime is 200249090081. The reversal of 200249090064 is 460090942002.

The square root of 200249090064 is 447492.

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

200249090064 is a `hidden beast` number, since 20 + 0 + 2 + 490 + 90 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38452072464 + 161797017600 = 196092^2 + 402240^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 477921247 + ... + 477921665.

Almost surely, 2^200249090064 is an apocalyptic number.

200249090064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

200249090064 is the 447492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200249090064

200249090064 is an abundant number, since it is smaller than the sum of its proper divisors (367893777709).

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

200249090064 is an frugal number, since it uses more digits than its factorization.

200249090064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 200249090064 by its sum of digits (36), we get a square (7208967242304 = 2684952²).

200249090064 divided by its sum of digits (36) gives a square (5562474724 = 74582²).

The spelling of 200249090064 in words is "two hundred billion, two hundred forty-nine million, ninety thousand, sixty-four".