6145225416 has 192 divisors, whose sum is σ = 19419004800. Its totient is φ = 1734912000.

The previous prime is 6145225357. The next prime is 6145225469.

6145225416 is a `hidden beast` number, since 6 + 14 + 5 + 225 + 416 = 666.

6145225416 is nontrivially palindromic in base 10.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1357605 + ... + 1362123.

It is an arithmetic number, because the mean of its divisors is an integer number (101140650).

Almost surely, 2^6145225416 is an apocalyptic number.

6145225416 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 6145225416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9709502400).

6145225416 is an abundant number, since it is smaller than the sum of its proper divisors (13273779384).

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

6145225416 is a wasteful number, since it uses less digits than its factorization.

6145225416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4653 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 6145225416 is about 78391.4881603864. The cubic root of 6145225416 is about 1831.6645465835.

It can be divided in two parts, 61452 and 25416, that added together give a palindrome (86868).

The spelling of 6145225416 in words is "six billion, one hundred forty-five million, two hundred twenty-five thousand, four hundred sixteen".