1072164491849 has 12 divisors (see below), whose sum is σ = 1178883304452. Its totient is φ = 974373718560.

The previous prime is 1072164491837. The next prime is 1072164491851. The reversal of 1072164491849 is 9481944612701.

It can be written as a sum of positive squares in 2 ways, for example, as 920317886224 + 151846605625 = 959332^2 + 389675^2 .

It is not a de Polignac number, because 1072164491849 - 2²⁴ = 1072147714633 is a prime.

It is a super-3 number, since 3×1072164491849³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1072164491794 and 1072164491803.

It is not an unprimeable number, because it can be changed into a prime (1072164491899) 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 11 ways as a sum of consecutive naturals, for example, 1091342 + ... + 1826295.

It is an arithmetic number, because the mean of its divisors is an integer number (98240275371).

Almost surely, 2^{1072164491849} is an apocalyptic number.

It is an amenable number.

1072164491849 is a deficient number, since it is larger than the sum of its proper divisors (106718812603).

1072164491849 is a wasteful number, since it uses less digits than its factorization.

1072164491849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920696 (or 2920685 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 1072164491849 in words is "one trillion, seventy-two billion, one hundred sixty-four million, four hundred ninety-one thousand, eight hundred forty-nine".