10214429184 has 480 divisors, whose sum is σ = 33513480000. Its totient is φ = 3093479424.

The previous prime is 10214429153. The next prime is 10214429219. The reversal of 10214429184 is 48192441201.

10214429184 is a `hidden beast` number, since 1 + 0 + 214 + 429 + 18 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 68553142 + ... + 68553290.

It is an arithmetic number, because the mean of its divisors is an integer number (69819750).

Almost surely, 2^10214429184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214429184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756740000).

10214429184 is an abundant number, since it is smaller than the sum of its proper divisors (23299050816).

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

10214429184 is an equidigital number, since it uses as much as digits as its factorization.

10214429184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 102144 and 29184, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 10214429184 in words is "ten billion, two hundred fourteen million, four hundred twenty-nine thousand, one hundred eighty-four".