215349827364 has 405 divisors, whose sum is σ = 683623253313. Its totient is φ = 58939078464.

The previous prime is 215349827291. The next prime is 215349827377. The reversal of 215349827364 is 463728943512.

The square root of 215349827364 is 464058.

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

215349827364 is a `hidden beast` number, since 21 + 5 + 3 + 498 + 2 + 73 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112924225764 + 102425601600 = 336042^2 + 320040^2 .

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

Its product of digits (8709120) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 215349827364.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1695667869 + ... + 1695667995.

Almost surely, 2^215349827364 is an apocalyptic number.

215349827364 is the 464058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215349827364

215349827364 is an abundant number, since it is smaller than the sum of its proper divisors (468273425949).

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

215349827364 is a wasteful number, since it uses less digits than its factorization.

215349827364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 168 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 215349827364 in words is "two hundred fifteen billion, three hundred forty-nine million, eight hundred twenty-seven thousand, three hundred sixty-four".