48342471099648 has 288 divisors, whose sum is σ = 147770395906560. Its totient is φ = 13875857694720.

The previous prime is 48342471099617. The next prime is 48342471099677. The reversal of 48342471099648 is 84699017424384.

48342471099648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48342471099648² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085520390 + ... + 1085564922.

Almost surely, 2^{48342471099648} is an apocalyptic number.

48342471099648 is a gapful number since it is divisible by the number (48) 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 48342471099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73885197953280).

48342471099648 is an abundant number, since it is smaller than the sum of its proper divisors (99427924806912).

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

48342471099648 is a wasteful number, since it uses less digits than its factorization.

48342471099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51345 (or 51331 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 69.

The spelling of 48342471099648 in words is "forty-eight trillion, three hundred forty-two billion, four hundred seventy-one million, ninety-nine thousand, six hundred forty-eight".