1151460641511 has 24 divisors (see below), whose sum is σ = 1697004966384. Its totient is φ = 752204505600.

The previous prime is 1151460641509. The next prime is 1151460641563.

1151460641511 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 4 + 6 + 0 + 641 + 5 + 1 + 1 = 666.

1151460641511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1151460641511 - 2¹ = 1151460641509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151460641501) 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, 6441381 + ... + 6617726.

It is an arithmetic number, because the mean of its divisors is an integer number (70708540266).

Almost surely, 2^{1151460641511} is an apocalyptic number.

1151460641511 is a deficient number, since it is larger than the sum of its proper divisors (545544324873).

1151460641511 is a wasteful number, since it uses less digits than its factorization.

1151460641511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13059311 (or 13059308 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

It can be divided in two parts, 1151460 and 641511, that added together give a palindrome (1792971).

The spelling of 1151460641511 in words is "one trillion, one hundred fifty-one billion, four hundred sixty million, six hundred forty-one thousand, five hundred eleven".