11546661456 has 400 divisors, whose sum is σ = 39236060160. Its totient is φ = 3240725760.

The previous prime is 11546661383. The next prime is 11546661463. The reversal of 11546661456 is 65416664511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12730155 + ... + 12731061.

Almost surely, 2^11546661456 is an apocalyptic number.

11546661456 is a gapful number since it is divisible by the number (16) 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 11546661456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19618030080).

11546661456 is an abundant number, since it is smaller than the sum of its proper divisors (27689398704).

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

11546661456 is a wasteful number, since it uses less digits than its factorization.

11546661456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 989 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 11546661456 in words is "eleven billion, five hundred forty-six million, six hundred sixty-one thousand, four hundred fifty-six".