48138924244992 has 2160 divisors, whose sum is σ = 172622419458048. Its totient is φ = 11859142901760.

The previous prime is 48138924244991. The next prime is 48138924245021. The reversal of 48138924244992 is 29944242983184.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (48138924244991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 496277569488 + ... + 496277569584.

Almost surely, 2^{48138924244992} is an apocalyptic number.

48138924244992 is a gapful number since it is divisible by the number (42) 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 48138924244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86311209729024).

48138924244992 is an abundant number, since it is smaller than the sum of its proper divisors (124483495213056).

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

48138924244992 is a wasteful number, since it uses less digits than its factorization.

48138924244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 180 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 69.

The spelling of 48138924244992 in words is "forty-eight trillion, one hundred thirty-eight billion, nine hundred twenty-four million, two hundred forty-four thousand, nine hundred ninety-two".