6142648512 has 448 divisors, whose sum is σ = 22547202048. Its totient is φ = 1423872000.

The previous prime is 6142648511. The next prime is 6142648517. The reversal of 6142648512 is 2158462416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6142648511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5957437 + ... + 5958467.

It is an arithmetic number, because the mean of its divisors is an integer number (50328576).

Almost surely, 2^6142648512 is an apocalyptic number.

6142648512 is a gapful number since it is divisible by the number (62) 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 6142648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11273601024).

6142648512 is an abundant number, since it is smaller than the sum of its proper divisors (16404553536).

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

6142648512 is a wasteful number, since it uses less digits than its factorization.

6142648512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1098 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 6142648512 is about 78375.0503157733. The cubic root of 6142648512 is about 1831.4084841781.

The spelling of 6142648512 in words is "six billion, one hundred forty-two million, six hundred forty-eight thousand, five hundred twelve".