48642144124684 has 48 divisors (see below), whose sum is σ = 97301839574016. Its totient is φ = 21061004025600.

The previous prime is 48642144124681. The next prime is 48642144124697.

48642144124684 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48642144124681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99476772 + ... + 99964555.

It is an arithmetic number, because the mean of its divisors is an integer number (2027121657792).

Almost surely, 2^{48642144124684} is an apocalyptic number.

48642144124684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48642144124684 is an abundant number, since it is smaller than the sum of its proper divisors (48659695449332).

48642144124684 is a wasteful number, since it uses less digits than its factorization.

48642144124684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199441606 (or 199441604 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 58.

It can be divided in two parts, 4864214 and 4124684, that added together give a palindrome (8988898).

The spelling of 48642144124684 in words is "forty-eight trillion, six hundred forty-two billion, one hundred forty-four million, one hundred twenty-four thousand, six hundred eighty-four".