11657461340 has 96 divisors (see below), whose sum is σ = 30579462144. Its totient is φ = 3640366080.

The previous prime is 11657461337. The next prime is 11657461349. The reversal of 11657461340 is 4316475611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11657461294 and 11657461303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11657461349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5222 + ... + 152781.

It is an arithmetic number, because the mean of its divisors is an integer number (318536064).

Almost surely, 2^11657461340 is an apocalyptic number.

11657461340 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 11657461340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289731072).

11657461340 is an abundant number, since it is smaller than the sum of its proper divisors (18922000804).

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

11657461340 is a wasteful number, since it uses less digits than its factorization.

11657461340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158067 (or 158065 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 11657461340 in words is "eleven billion, six hundred fifty-seven million, four hundred sixty-one thousand, three hundred forty".