48193024000 has 416 divisors, whose sum is σ = 134935257600. Its totient is φ = 17031168000.

The previous prime is 48193023979. The next prime is 48193024001. The reversal of 48193024000 is 42039184.

It is not an unprimeable number, because it can be changed into a prime (48193024001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242175901 + ... + 242176099.

It is an arithmetic number, because the mean of its divisors is an integer number (324363600).

Almost surely, 2^48193024000 is an apocalyptic number.

48193024000 is a gapful number since it is divisible by the number (40) 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 48193024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67467628800).

48193024000 is an abundant number, since it is smaller than the sum of its proper divisors (86742233600).

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

48193024000 is a wasteful number, since it uses less digits than its factorization.

48193024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 48193024000 in words is "forty-eight billion, one hundred ninety-three million, twenty-four thousand".