48329568000 has 1152 divisors, whose sum is σ = 208766638080. Its totient is φ = 10782720000.

The previous prime is 48329567929. The next prime is 48329568019. The reversal of 48329568000 is 86592384.

48329568000 is a `hidden beast` number, since 4 + 83 + 2 + 9 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 368927935 + ... + 368928065.

It is an arithmetic number, because the mean of its divisors is an integer number (181221040).

Almost surely, 2^48329568000 is an apocalyptic number.

48329568000 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 48329568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104383319040).

48329568000 is an abundant number, since it is smaller than the sum of its proper divisors (160437070080).

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

48329568000 is a wasteful number, since it uses less digits than its factorization.

48329568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48329568000 in words is "forty-eight billion, three hundred twenty-nine million, five hundred sixty-eight thousand".