48934987476480 has 480 divisors, whose sum is σ = 193757317737984. Its totient is φ = 11181046284288.

The previous prime is 48934987476329. The next prime is 48934987476481. The reversal of 48934987476480 is 8467478943984.

48934987476480 is a `hidden beast` number, since 4 + 8 + 9 + 3 + 4 + 98 + 7 + 47 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 48934987476480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48934987476481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452013717 + ... + 452121963.

Almost surely, 2^{48934987476480} is an apocalyptic number.

48934987476480 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 48934987476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96878658868992).

48934987476480 is an abundant number, since it is smaller than the sum of its proper divisors (144822330261504).

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

48934987476480 is a wasteful number, since it uses less digits than its factorization.

48934987476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111086 (or 111067 counting only the distinct ones).

The product of its (nonzero) digits is 9364045824, while the sum is 81.

The spelling of 48934987476480 in words is "forty-eight trillion, nine hundred thirty-four billion, nine hundred eighty-seven million, four hundred seventy-six thousand, four hundred eighty".