211552162704 has 45 divisors (see below), whose sum is σ = 592067680113. Its totient is φ = 70515547776.

The previous prime is 211552162687. The next prime is 211552162711. The reversal of 211552162704 is 407261255112.

The square root of 211552162704 is 459948.

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

211552162704 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 5 + 21 + 627 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100902793104 + 110649369600 = 317652^2 + 332640^2 .

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 8 ways as a sum of consecutive naturals, for example, 5500212 + ... + 5538540.

Almost surely, 2^211552162704 is an apocalyptic number.

211552162704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

211552162704 is the 459948-th square number.

It is an amenable number.

211552162704 is an abundant number, since it is smaller than the sum of its proper divisors (380515517409).

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

211552162704 is an frugal number, since it uses more digits than its factorization.

211552162704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76672 (or 38334 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Multiplying 211552162704 by its sum of digits (36), we get a square (7615877857344 = 2759688²).

211552162704 divided by its sum of digits (36) gives a square (5876448964 = 76658²).

The spelling of 211552162704 in words is "two hundred eleven billion, five hundred fifty-two million, one hundred sixty-two thousand, seven hundred four".