212867813376 has 351 divisors, whose sum is σ = 645747731941. Its totient is φ = 70158680064.

The previous prime is 212867813359. The next prime is 212867813393. The reversal of 212867813376 is 673318768212.

It is a happy number.

The square root of 212867813376 is 461376.

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

212867813376 is a `hidden beast` number, since 21 + 286 + 7 + 8 + 1 + 337 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (212867813359) and next prime (212867813393).

It can be written as a sum of positive squares in only one way, i.e., 40875134976 + 171992678400 = 202176^2 + 414720^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2391773140 + ... + 2391773228.

Almost surely, 2^212867813376 is an apocalyptic number.

212867813376 is the 461376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212867813376

212867813376 is an abundant number, since it is smaller than the sum of its proper divisors (432879918565).

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

212867813376 is an frugal number, since it uses more digits than its factorization.

212867813376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 94 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 212867813376 in words is "two hundred twelve billion, eight hundred sixty-seven million, eight hundred thirteen thousand, three hundred seventy-six".