8114401152 has 480 divisors, whose sum is σ = 28593698760. Its totient is φ = 2264371200.

The previous prime is 8114401147. The next prime is 8114401153. The reversal of 8114401152 is 2511044118.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8114401153) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 19273902 + ... + 19274322.

Almost surely, 2^8114401152 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 8114401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296849380).

8114401152 is an abundant number, since it is smaller than the sum of its proper divisors (20479297608).

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

8114401152 is a wasteful number, since it uses less digits than its factorization.

8114401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 8114401152 is about 90079.9708703328. The cubic root of 8114401152 is about 2009.4883438139.

The spelling of 8114401152 in words is "eight billion, one hundred fourteen million, four hundred one thousand, one hundred fifty-two".