48148938432000 has 2560 divisors, whose sum is σ = 220526205419520. Its totient is φ = 10103685120000.

The previous prime is 48148938431999. The next prime is 48148938432059. The reversal of 48148938432000 is 23483984184.

48148938432000 is a `hidden beast` number, since 4 + 81 + 48 + 93 + 8 + 432 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8430909145 + ... + 8430914855.

It is an arithmetic number, because the mean of its divisors is an integer number (86143048992).

Almost surely, 2^{48148938432000} is an apocalyptic number.

48148938432000 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 48148938432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110263102709760).

48148938432000 is an abundant number, since it is smaller than the sum of its proper divisors (172377266987520).

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

48148938432000 is a wasteful number, since it uses less digits than its factorization.

48148938432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 48148938432000 in words is "forty-eight trillion, one hundred forty-eight billion, nine hundred thirty-eight million, four hundred thirty-two thousand".