11456661276000 has 384 divisors, whose sum is σ = 41852905960320. Its totient is φ = 3044072448000.

The previous prime is 11456661275981. The next prime is 11456661276017. The reversal of 11456661276000 is 67216665411.

11456661276000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29724520 + ... + 30107480.

It is an arithmetic number, because the mean of its divisors is an integer number (108991942605).

Almost surely, 2^{11456661276000} is an apocalyptic number.

11456661276000 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 11456661276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20926452980160).

11456661276000 is an abundant number, since it is smaller than the sum of its proper divisors (30396244684320).

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

11456661276000 is a wasteful number, since it uses less digits than its factorization.

11456661276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383272 (or 383248 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11456661276000 in words is "eleven trillion, four hundred fifty-six billion, six hundred sixty-one million, two hundred seventy-six thousand".