21204146201616 has 315 divisors, whose sum is σ = 71664688472463. Its totient is φ = 6057332850240.

The previous prime is 21204146201593. The next prime is 21204146201639. The reversal of 21204146201616 is 61610264140212.

The square root of 21204146201616 is 4604796.

It is a perfect power (a square), and thus also a powerful number.

21204146201616 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 4 + 1 + 4 + 620 + 16 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (21204146201593) and next prime (21204146201639).

It is a super-2 number, since 2×21204146201616² (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 62 ways as a sum of consecutive naturals, for example, 3481222731 + ... + 3481228821.

Almost surely, 2^{21204146201616} is an apocalyptic number.

21204146201616 is the 4604796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21204146201616

21204146201616 is an abundant number, since it is smaller than the sum of its proper divisors (50460542270847).

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

21204146201616 is an frugal number, since it uses more digits than its factorization.

21204146201616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 21204146201616 by its sum of digits (36), we get a square (763349263258176 = 27628776²).

21204146201616 divided by its sum of digits (36) gives a square (589004061156 = 767466²).

The spelling of 21204146201616 in words is "twenty-one trillion, two hundred four billion, one hundred forty-six million, two hundred one thousand, six hundred sixteen".