8216420944900 has 81 divisors (see below), whose sum is σ = 20741100524319. Its totient is φ = 2816989815360.

The previous prime is 8216420944883. The next prime is 8216420944961. The reversal of 8216420944900 is 94490246128.

It is a happy number.

The square root of 8216420944900 is 2866430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 295933824004 + 7920487120896 = 543998^2 + 2814336^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 200629626 + ... + 200670574.

Almost surely, 2^{8216420944900} is an apocalyptic number.

8216420944900 is the 2866430-th square number.

It is an amenable number.

8216420944900 is an abundant number, since it is smaller than the sum of its proper divisors (12524679579419).

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

8216420944900 is an frugal number, since it uses more digits than its factorization.

8216420944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81926 (or 40963 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 8216420944900 by its sum of digits (49), we get a square (402604626300100 = 20065010²).

8216420944900 divided by its sum of digits (49) gives a square (167682060100 = 409490²).

The spelling of 8216420944900 in words is "eight trillion, two hundred sixteen billion, four hundred twenty million, nine hundred forty-four thousand, nine hundred".