8114436432 has 240 divisors, whose sum is σ = 24451435008. Its totient is φ = 2505888000.

The previous prime is 8114436391. The next prime is 8114436467. The reversal of 8114436432 is 2346344118.

8114436432 is a `hidden beast` number, since 8 + 1 + 1 + 4 + 4 + 3 + 643 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 32328307 + ... + 32328557.

Almost surely, 2^8114436432 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 8114436432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225717504).

8114436432 is an abundant number, since it is smaller than the sum of its proper divisors (16336998576).

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

8114436432 is a wasteful number, since it uses less digits than its factorization.

8114436432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 8114436432 is about 90080.1666961157. The cubic root of 8114436432 is about 2009.4912561112.

The spelling of 8114436432 in words is "eight billion, one hundred fourteen million, four hundred thirty-six thousand, four hundred thirty-two".