48182524379136 has 1104 divisors, whose sum is σ = 175194379473600. Its totient is φ = 13013348253696.

The previous prime is 48182524379047. The next prime is 48182524379141. The reversal of 48182524379136 is 63197342528184.

It is a happy number.

48182524379136 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 2 + 524 + 3 + 79 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105432219420 + ... + 105432219876.

Almost surely, 2^{48182524379136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48182524379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87597189736800).

48182524379136 is an abundant number, since it is smaller than the sum of its proper divisors (127011855094464).

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

48182524379136 is an frugal number, since it uses more digits than its factorization.

48182524379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 488 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 48182524379136 in words is "forty-eight trillion, one hundred eighty-two billion, five hundred twenty-four million, three hundred seventy-nine thousand, one hundred thirty-six".