11461505036464 has 80 divisors (see below), whose sum is σ = 25561467612160. Its totient is φ = 4876802899200.

The previous prime is 11461505036461. The next prime is 11461505036491. The reversal of 11461505036464 is 46463050516411.

It is not an unprimeable number, because it can be changed into a prime (11461505036461) 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, 30066157 + ... + 30444979.

It is an arithmetic number, because the mean of its divisors is an integer number (319518345152).

Almost surely, 2^{11461505036464} is an apocalyptic number.

11461505036464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11461505036464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780733806080).

11461505036464 is an abundant number, since it is smaller than the sum of its proper divisors (14099962575696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11461505036464 is a wasteful number, since it uses less digits than its factorization.

11461505036464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380778 (or 380772 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 11461505036464 in words is "eleven trillion, four hundred sixty-one billion, five hundred five million, thirty-six thousand, four hundred sixty-four".