214767364900 has 135 divisors (see below), whose sum is σ = 513988514305. Its totient is φ = 77893314400.

The previous prime is 214767364859. The next prime is 214767364909. The reversal of 214767364900 is 9463767412.

The square root of 214767364900 is 463430.

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., 77316251364 + 137451113536 = 278058^2 + 370744^2 .

It is a super-2 number, since 2×214767364900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214767364909) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 560750109 + ... + 560750491.

Almost surely, 2^214767364900 is an apocalyptic number.

214767364900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214767364900 is the 463430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214767364900

214767364900 is an abundant number, since it is smaller than the sum of its proper divisors (299221149405).

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

214767364900 is an frugal number, since it uses more digits than its factorization.

214767364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

Multiplying 214767364900 by its sum of digits (49), we get a square (10523600880100 = 3244010²).

The spelling of 214767364900 in words is "two hundred fourteen billion, seven hundred sixty-seven million, three hundred sixty-four thousand, nine hundred".