6114258216 has 512 divisors, whose sum is σ = 21399552000. Its totient is φ = 1592524800.

The previous prime is 6114258179. The next prime is 6114258253. The reversal of 6114258216 is 6128524116.

It is a happy number.

6114258216 is a `hidden beast` number, since 6 + 11 + 425 + 8 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (6114258179) and next prime (6114258253).

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 127 ways as a sum of consecutive naturals, for example, 23790760 + ... + 23791016.

It is an arithmetic number, because the mean of its divisors is an integer number (41796000).

Almost surely, 2^6114258216 is an apocalyptic number.

6114258216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6114258216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10699776000).

6114258216 is an abundant number, since it is smaller than the sum of its proper divisors (15285293784).

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

6114258216 is a wasteful number, since it uses less digits than its factorization.

6114258216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 6114258216 is about 78193.7223567212. The cubic root of 6114258216 is about 1828.5826380707.

The spelling of 6114258216 in words is "six billion, one hundred fourteen million, two hundred fifty-eight thousand, two hundred sixteen".