1352189464461 has 144 divisors (see below), whose sum is σ = 2314897930800. Its totient is φ = 757187481600.

The previous prime is 1352189464447. The next prime is 1352189464499. The reversal of 1352189464461 is 1644649812531.

1352189464461 is a `hidden beast` number, since 1 + 35 + 2 + 1 + 8 + 94 + 64 + 461 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 312872422500 + 1039317041961 = 559350^2 + 1019469^2 .

It is not a de Polignac number, because 1352189464461 - 2¹¹ = 1352189462413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1352189464398 and 1352189464407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352189463461) 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 143 ways as a sum of consecutive naturals, for example, 872942715 + ... + 872944263.

It is an arithmetic number, because the mean of its divisors is an integer number (16075680075).

Almost surely, 2^{1352189464461} is an apocalyptic number.

1352189464461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1352189464461 is a deficient number, since it is larger than the sum of its proper divisors (962708466339).

1352189464461 is a wasteful number, since it uses less digits than its factorization.

1352189464461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2414 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 1352189464461 in words is "one trillion, three hundred fifty-two billion, one hundred eighty-nine million, four hundred sixty-four thousand, four hundred sixty-one".