21145483368000 has 672 divisors, whose sum is σ = 76189268113920. Its totient is φ = 5598028800000.

The previous prime is 21145483367993. The next prime is 21145483368077. The reversal of 21145483368000 is 86338454112.

21145483368000 is a `hidden beast` number, since 2 + 1 + 14 + 548 + 33 + 68 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11740967100 + ... + 11740968900.

Almost surely, 2^{21145483368000} is an apocalyptic number.

21145483368000 is a gapful number since it is divisible by the number (20) 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 21145483368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38094634056960).

21145483368000 is an abundant number, since it is smaller than the sum of its proper divisors (55043784745920).

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

21145483368000 is a wasteful number, since it uses less digits than its factorization.

21145483368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 21145483368000 in words is "twenty-one trillion, one hundred forty-five billion, four hundred eighty-three million, three hundred sixty-eight thousand".