48009001739328 has 336 divisors, whose sum is σ = 158113580851200. Its totient is φ = 13643240832000.

The previous prime is 48009001739273. The next prime is 48009001739407. The reversal of 48009001739328 is 82393710090084.

48009001739328 is a `hidden beast` number, since 480 + 0 + 9 + 0 + 0 + 1 + 73 + 93 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 654473853 + ... + 654547203.

Almost surely, 2^{48009001739328} is an apocalyptic number.

48009001739328 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 48009001739328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79056790425600).

48009001739328 is an abundant number, since it is smaller than the sum of its proper divisors (110104579111872).

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

48009001739328 is a wasteful number, since it uses less digits than its factorization.

48009001739328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74246 (or 74233 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 48009001739328 in words is "forty-eight trillion, nine billion, one million, seven hundred thirty-nine thousand, three hundred twenty-eight".