48180334664 has 288 divisors, whose sum is σ = 120446928000. Its totient is φ = 18045720000.

The previous prime is 48180334649. The next prime is 48180334681. The reversal of 48180334664 is 46643308184.

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, 319074989 + ... + 319075139.

It is an arithmetic number, because the mean of its divisors is an integer number (418218500).

Almost surely, 2^48180334664 is an apocalyptic number.

48180334664 is a gapful number since it is divisible by the number (44) 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 48180334664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60223464000).

48180334664 is an abundant number, since it is smaller than the sum of its proper divisors (72266593336).

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

48180334664 is a wasteful number, since it uses less digits than its factorization.

48180334664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 48180334664 in words is "forty-eight billion, one hundred eighty million, three hundred thirty-four thousand, six hundred sixty-four".