48329608320 has 192 divisors, whose sum is σ = 190729506240. Its totient is φ = 11046758400.

The previous prime is 48329608309. The next prime is 48329608387. The reversal of 48329608320 is 2380692384.

48329608320 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 9 + 608 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×48329608320² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559006 + ... + 639645.

It is an arithmetic number, because the mean of its divisors is an integer number (993382845).

Almost surely, 2^48329608320 is an apocalyptic number.

48329608320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48329608320 is an abundant number, since it is smaller than the sum of its proper divisors (142399897920).

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

48329608320 is a wasteful number, since it uses less digits than its factorization.

48329608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198683 (or 1198668 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 48329608320 in words is "forty-eight billion, three hundred twenty-nine million, six hundred eight thousand, three hundred twenty".