11641466460 has 96 divisors (see below), whose sum is σ = 35314094592. Its totient is φ = 2848400640.

The previous prime is 11641466443. The next prime is 11641466467. The reversal of 11641466460 is 6466414611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11641466467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85575 + ... + 174945.

It is an arithmetic number, because the mean of its divisors is an integer number (367855152).

Almost surely, 2^11641466460 is an apocalyptic number.

11641466460 is a gapful number since it is divisible by the number (10) 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 11641466460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657047296).

11641466460 is an abundant number, since it is smaller than the sum of its proper divisors (23672628132).

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

11641466460 is a wasteful number, since it uses less digits than its factorization.

11641466460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89563 (or 89561 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 11641466460 in words is "eleven billion, six hundred forty-one million, four hundred sixty-six thousand, four hundred sixty".