11461408896000 has 2112 divisors, whose sum is σ = 46281231270144. Its totient is φ = 2508226560000.

The previous prime is 11461408895927. The next prime is 11461408896001. The reversal of 11461408896000 is 69880416411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11461408896001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70315391919 + ... + 70315392081.

Almost surely, 2^{11461408896000} is an apocalyptic number.

11461408896000 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 11461408896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23140615635072).

11461408896000 is an abundant number, since it is smaller than the sum of its proper divisors (34819822374144).

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

11461408896000 is a wasteful number, since it uses less digits than its factorization.

11461408896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 11461408896000 in words is "eleven trillion, four hundred sixty-one billion, four hundred eight million, eight hundred ninety-six thousand".