1151260000461 has 24 divisors (see below), whose sum is σ = 1677753390456. Its totient is φ = 760666475520.

The previous prime is 1151260000459. The next prime is 1151260000489. The reversal of 1151260000461 is 1640000621511.

1151260000461 is a `hidden beast` number, since 1 + 1 + 5 + 12 + 600 + 0 + 0 + 46 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107859039561 + 1043400960900 = 328419^2 + 1021470^2 .

It is not a de Polignac number, because 1151260000461 - 2¹ = 1151260000459 is a prime.

It is a super-2 number, since 2×1151260000461² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151260001461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23970091 + ... + 24018071.

It is an arithmetic number, because the mean of its divisors is an integer number (69906391269).

Almost surely, 2^{1151260000461} is an apocalyptic number.

It is an amenable number.

1151260000461 is a deficient number, since it is larger than the sum of its proper divisors (526493389995).

1151260000461 is a wasteful number, since it uses less digits than its factorization.

1151260000461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71693 (or 71690 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1151260000461 its reverse (1640000621511), we get a palindrome (2791260621972).

The spelling of 1151260000461 in words is "one trillion, one hundred fifty-one billion, two hundred sixty million, four hundred sixty-one", and thus it is an aban number.