216478033984 has 63 divisors (see below), whose sum is σ = 453520851021. Its totient is φ = 102508727040.

The previous prime is 216478033957. The next prime is 216478034027. The reversal of 216478033984 is 489330874612.

The square root of 216478033984 is 465272.

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

It can be written as a sum of positive squares in only one way, i.e., 206413931584 + 10064102400 = 454328^2 + 100320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70719814 + ... + 70722874.

It is an arithmetic number, because the mean of its divisors is an integer number (7198743667).

Almost surely, 2^216478033984 is an apocalyptic number.

216478033984 is the 465272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216478033984

216478033984 is an abundant number, since it is smaller than the sum of its proper divisors (237042817037).

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

216478033984 is an frugal number, since it uses more digits than its factorization.

216478033984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 216478033984 in words is "two hundred sixteen billion, four hundred seventy-eight million, thirty-three thousand, nine hundred eighty-four".