214026516900 has 243 divisors, whose sum is σ = 780735844161. Its totient is φ = 48898140480.

The previous prime is 214026516883. The next prime is 214026516923. The reversal of 214026516900 is 9615620412.

The square root of 214026516900 is 462630.

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., 77049546084 + 136976970816 = 277578^2 + 370104^2 .

It is a super-2 number, since 2×214026516900² (a number of 23 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 97151199 + ... + 97153401.

Almost surely, 2^214026516900 is an apocalyptic number.

214026516900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214026516900 is the 462630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214026516900

214026516900 is an abundant number, since it is smaller than the sum of its proper divisors (566709327261).

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

214026516900 is a wasteful number, since it uses less digits than its factorization.

214026516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 214026516900 by its sum of digits (36), we get a square (7704954608400 = 2775780²).

214026516900 divided by its sum of digits (36) gives a square (5945181025 = 77105²).

The spelling of 214026516900 in words is "two hundred fourteen billion, twenty-six million, five hundred sixteen thousand, nine hundred".