48382365504 has 224 divisors, whose sum is σ = 143033812992. Its totient is φ = 14307840000.

The previous prime is 48382365497. The next prime is 48382365509. The reversal of 48382365504 is 40556328384.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48382365509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59657259 + ... + 59658069.

It is an arithmetic number, because the mean of its divisors is an integer number (638543808).

Almost surely, 2^48382365504 is an apocalyptic number.

48382365504 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 48382365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71516906496).

48382365504 is an abundant number, since it is smaller than the sum of its proper divisors (94651447488).

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

48382365504 is a wasteful number, since it uses less digits than its factorization.

48382365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 48382365504 in words is "forty-eight billion, three hundred eighty-two million, three hundred sixty-five thousand, five hundred four".