214789429008 has 720 divisors, whose sum is σ = 778000204800. Its totient is φ = 54125660160.

The previous prime is 214789429007. The next prime is 214789429009. The reversal of 214789429008 is 800924987412.

It is an interprime number because it is at equal distance from previous prime (214789429007) and next prime (214789429009).

It is a super-2 number, since 2×214789429008² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (214789429003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 963181185 + ... + 963181407.

It is an arithmetic number, because the mean of its divisors is an integer number (1080555840).

Almost surely, 2^214789429008 is an apocalyptic number.

214789429008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214789429008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389000102400).

214789429008 is an abundant number, since it is smaller than the sum of its proper divisors (563210775792).

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

214789429008 is a wasteful number, since it uses less digits than its factorization.

214789429008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 214789429008 in words is "two hundred fourteen billion, seven hundred eighty-nine million, four hundred twenty-nine thousand, eight".