1046007552200 has 108 divisors (see below), whose sum is σ = 2633905795635. Its totient is φ = 386148746880.

The previous prime is 1046007552199. The next prime is 1046007552209. The reversal of 1046007552200 is 22557006401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 65483786404 + 980523765796 = 255898^2 + 990214^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=723190.

It is not an unprimeable number, because it can be changed into a prime (1046007552209) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 188026619 + ... + 188032181.

Almost surely, 2^{1046007552200} is an apocalyptic number.

1046007552200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046007552200

1046007552200 is an abundant number, since it is smaller than the sum of its proper divisors (1587898243435).

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

1046007552200 is an frugal number, since it uses more digits than its factorization.

1046007552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

Multiplying 1046007552200 by its sum of digits (32), we get a square (33472241670400 = 5785520²).

The spelling of 1046007552200 in words is "one trillion, forty-six billion, seven million, five hundred fifty-two thousand, two hundred".