6141151620 has 96 divisors (see below), whose sum is σ = 19251872640. Its totient is φ = 1625120640.

The previous prime is 6141151613. The next prime is 6141151631. The reversal of 6141151620 is 261511416.

6141151620 is a `hidden beast` number, since 6 + 141 + 1 + 516 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27334 + ... + 114146.

It is an arithmetic number, because the mean of its divisors is an integer number (200540340).

Almost surely, 2^6141151620 is an apocalyptic number.

6141151620 is a gapful number since it is divisible by the number (60) 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 6141151620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625936320).

6141151620 is an abundant number, since it is smaller than the sum of its proper divisors (13110721020).

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

6141151620 is a wasteful number, since it uses less digits than its factorization.

6141151620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86962 (or 86954 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 6141151620 is about 78365.5001898157. The cubic root of 6141151620 is about 1831.2597077766.

The spelling of 6141151620 in words is "six billion, one hundred forty-one million, one hundred fifty-one thousand, six hundred twenty".