21186914749776 has 1920 divisors, whose sum is σ = 75076794777600. Its totient is φ = 5675977359360.

The previous prime is 21186914749739. The next prime is 21186914749877. The reversal of 21186914749776 is 67794741968112.

21186914749776 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 6 + 91 + 47 + 497 + 7 + 6 = 666.

It is a super-2 number, since 2×21186914749776² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 107547790510 + ... + 107547790706.

It is an arithmetic number, because the mean of its divisors is an integer number (39102497280).

Almost surely, 2^{21186914749776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21186914749776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37538397388800).

21186914749776 is an abundant number, since it is smaller than the sum of its proper divisors (53889880027824).

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

21186914749776 is a wasteful number, since it uses less digits than its factorization.

21186914749776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 339 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 72.

The spelling of 21186914749776 in words is "twenty-one trillion, one hundred eighty-six billion, nine hundred fourteen million, seven hundred forty-nine thousand, seven hundred seventy-six".