8214012432 has 120 divisors (see below), whose sum is σ = 24423686040. Its totient is φ = 2572093440.

The previous prime is 8214012431. The next prime is 8214012449. The reversal of 8214012432 is 2342104128.

8214012432 is a `hidden beast` number, since 8 + 214 + 0 + 12 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3581304336 + 4632708096 = 59844^2 + 68064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8214012396 and 8214012405.

It is not an unprimeable number, because it can be changed into a prime (8214012431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127932 + ... + 181092.

It is an arithmetic number, because the mean of its divisors is an integer number (203530717).

Almost surely, 2^8214012432 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 8214012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12211843020).

8214012432 is an abundant number, since it is smaller than the sum of its proper divisors (16209673608).

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

8214012432 is a wasteful number, since it uses less digits than its factorization.

8214012432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53241 (or 53232 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8214012432 is about 90631.1890686644. The cubic root of 8214012432 is about 2017.6776591615.

The spelling of 8214012432 in words is "eight billion, two hundred fourteen million, twelve thousand, four hundred thirty-two".