320114508048 has 240 divisors, whose sum is σ = 951197869440. Its totient is φ = 100319385600.

The previous prime is 320114508029. The next prime is 320114508073. The reversal of 320114508048 is 840805411023.

320114508048 is a `hidden beast` number, since 32 + 0 + 114 + 508 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108035815 + ... + 108038777.

It is an arithmetic number, because the mean of its divisors is an integer number (3963324456).

Almost surely, 2^320114508048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320114508048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475598934720).

320114508048 is an abundant number, since it is smaller than the sum of its proper divisors (631083361392).

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

320114508048 is a wasteful number, since it uses less digits than its factorization.

320114508048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 320114508048 in words is "three hundred twenty billion, one hundred fourteen million, five hundred eight thousand, forty-eight".