21914492544000 has 1408 divisors, whose sum is σ = 93841711641600. Its totient is φ = 4940011929600.

The previous prime is 21914492543987. The next prime is 21914492544001. The reversal of 21914492544000 is 44529441912.

21914492544000 is a `hidden beast` number, since 2 + 1 + 9 + 14 + 4 + 92 + 544 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×21914492544000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21914492544001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1766009796 + ... + 1766022204.

Almost surely, 2^{21914492544000} is an apocalyptic number.

21914492544000 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 21914492544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46920855820800).

21914492544000 is an abundant number, since it is smaller than the sum of its proper divisors (71927219097600).

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

21914492544000 is a wasteful number, since it uses less digits than its factorization.

21914492544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21914492544000 in words is "twenty-one trillion, nine hundred fourteen billion, four hundred ninety-two million, five hundred forty-four thousand".