48506914813680 has 360 divisors, whose sum is σ = 165091131616320. Its totient is φ = 12763657221120.

The previous prime is 48506914813657. The next prime is 48506914813697. The reversal of 48506914813680 is 8631841960584.

48506914813680 is a `hidden beast` number, since 4 + 8 + 5 + 0 + 6 + 91 + 481 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14015287150 + ... + 14015290610.

It is an arithmetic number, because the mean of its divisors is an integer number (458586476712).

Almost surely, 2^{48506914813680} is an apocalyptic number.

48506914813680 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 48506914813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82545565808160).

48506914813680 is an abundant number, since it is smaller than the sum of its proper divisors (116584216802640).

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

48506914813680 is a wasteful number, since it uses less digits than its factorization.

48506914813680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 48506914813680 in words is "forty-eight trillion, five hundred six billion, nine hundred fourteen million, eight hundred thirteen thousand, six hundred eighty".