1644400192513 has 16 divisors (see below), whose sum is σ = 1875732795216. Its totient is φ = 1428108595200.

The previous prime is 1644400192471. The next prime is 1644400192517. The reversal of 1644400192513 is 3152910044461.

1644400192513 = 906752² + 906753².

It can be written as a sum of positive squares in 8 ways, for example, as 11801128689 + 1632599063824 = 108633^2 + 1277732^2 .

It is a cyclic number.

It is not a de Polignac number, because 1644400192513 - 2¹³ = 1644400184321 is a prime.

It is a super-3 number, since 3×1644400192513³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1644400192517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709206 + ... + 1947247.

It is an arithmetic number, because the mean of its divisors is an integer number (117233299701).

Almost surely, 2^{1644400192513} is an apocalyptic number.

1644400192513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1644400192513 is the 906753-rd centered square number.

It is an amenable number.

1644400192513 is a deficient number, since it is larger than the sum of its proper divisors (231332602703).

1644400192513 is a wasteful number, since it uses less digits than its factorization.

1644400192513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659284.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 1644400192513 in words is "one trillion, six hundred forty-four billion, four hundred million, one hundred ninety-two thousand, five hundred thirteen".