21674229750216 has 176 divisors, whose sum is σ = 61586994653100. Its totient is φ = 7150246244352.

The previous prime is 21674229750191. The next prime is 21674229750259. The reversal of 21674229750216 is 61205792247612.

It is a happy number.

21674229750216 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 42 + 2 + 97 + 502 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20670935040900 + 1003294709316 = 4546530^2 + 1001646^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 45585520 + ... + 46058528.

Almost surely, 2^{21674229750216} 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 21674229750216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30793497326550).

21674229750216 is an abundant number, since it is smaller than the sum of its proper divisors (39912764902884).

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

21674229750216 is an frugal number, since it uses more digits than its factorization.

21674229750216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473142 (or 473111 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 21674229750216 in words is "twenty-one trillion, six hundred seventy-four billion, two hundred twenty-nine million, seven hundred fifty thousand, two hundred sixteen".