8114290000 has 50 divisors (see below), whose sum is σ = 19645531730. Its totient is φ = 3245712000.

The previous prime is 8114289977. The next prime is 8114290057. The reversal of 8114290000 is 924118.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1214661904 + 6899628096 = 34852^2 + 83064^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×8114290000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 395715 + ... + 415714.

Almost surely, 2^8114290000 is an apocalyptic number.

8114290000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8114290000 is an abundant number, since it is smaller than the sum of its proper divisors (11531241730).

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

8114290000 is an equidigital number, since it uses as much as digits as its factorization.

8114290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811457 (or 811436 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 8114290000 is about 90079.3539053206. The cubic root of 8114290000 is about 2009.4791683712.

The spelling of 8114290000 in words is "eight billion, one hundred fourteen million, two hundred ninety thousand".