6142948900 has 144 divisors (see below), whose sum is σ = 15381515520. Its totient is φ = 2106000000.

The previous prime is 6142948883. The next prime is 6142948901. The reversal of 6142948900 is 98492416.

It is a super-2 number, since 2×6142948900² = 75471642376022420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6142948901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5245315 + ... + 5246485.

It is an arithmetic number, because the mean of its divisors is an integer number (106816080).

Almost surely, 2^6142948900 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 6142948900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690757760).

6142948900 is an abundant number, since it is smaller than the sum of its proper divisors (9238566620).

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

6142948900 is a wasteful number, since it uses less digits than its factorization.

6142948900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 6142948900 is about 78376.9666419925. The cubic root of 6142948900 is about 1831.4383368908.

The spelling of 6142948900 in words is "six billion, one hundred forty-two million, nine hundred forty-eight thousand, nine hundred".