29214330084 has 81 divisors (see below), whose sum is σ = 75238902921. Its totient is φ = 9557958240.

The previous prime is 29214330073. The next prime is 29214330107. The reversal of 29214330084 is 48003341292.

The square root of 29214330084 is 170922.

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., 949995684 + 28264334400 = 30822^2 + 168120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62557219 + ... + 62557685.

Almost surely, 2^29214330084 is an apocalyptic number.

29214330084 is the 170922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29214330084

29214330084 is an abundant number, since it is smaller than the sum of its proper divisors (46024572837).

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

29214330084 is an equidigital number, since it uses as much as digits as its factorization.

29214330084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 29214330084 by its sum of digits (36), we get a square (1051715883024 = 1025532²).

29214330084 divided by its sum of digits (36) gives a square (811509169 = 28487²).

The spelling of 29214330084 in words is "twenty-nine billion, two hundred fourteen million, three hundred thirty thousand, eighty-four".