214784048704 has 63 divisors (see below), whose sum is σ = 449972535537. Its totient is φ = 101706444288.

The previous prime is 214784048701. The next prime is 214784048729. The reversal of 214784048704 is 407840487412.

The square root of 214784048704 is 463448.

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., 23150231104 + 191633817600 = 152152^2 + 437760^2 .

It is a super-2 number, since 2×214784048704² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214784048701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70442572 + ... + 70445620.

It is an arithmetic number, because the mean of its divisors is an integer number (7142421199).

Almost surely, 2^214784048704 is an apocalyptic number.

214784048704 is the 463448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214784048704

214784048704 is an abundant number, since it is smaller than the sum of its proper divisors (235188486833).

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

214784048704 is an frugal number, since it uses more digits than its factorization.

214784048704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 49.

Multiplying 214784048704 by its sum of digits (49), we get a square (10524418386496 = 3244136²).

The spelling of 214784048704 in words is "two hundred fourteen billion, seven hundred eighty-four million, forty-eight thousand, seven hundred four".