11450663721000 has 768 divisors, whose sum is σ = 46275671070720. Its totient is φ = 2499102720000.

The previous prime is 11450663720999. The next prime is 11450663721017. The reversal of 11450663721000 is 12736605411.

11450663721000 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 6 + 637 + 2 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×11450663721000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121353840 + ... + 121448160.

It is an arithmetic number, because the mean of its divisors is an integer number (60254780040).

Almost surely, 2^{11450663721000} is an apocalyptic number.

11450663721000 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 11450663721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137835535360).

11450663721000 is an abundant number, since it is smaller than the sum of its proper divisors (34825007349720).

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

11450663721000 is a wasteful number, since it uses less digits than its factorization.

11450663721000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94443 (or 94426 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11450663721000 in words is "eleven trillion, four hundred fifty billion, six hundred sixty-three million, seven hundred twenty-one thousand".