48855901842 has 224 divisors, whose sum is σ = 123747886080. Its totient is φ = 14331168000.

The previous prime is 48855901841. The next prime is 48855901889. The reversal of 48855901842 is 24810955884.

48855901842 is a `hidden beast` number, since 4 + 8 + 8 + 5 + 590 + 1 + 8 + 42 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48855901841) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 125593384 + ... + 125593772.

It is an arithmetic number, because the mean of its divisors is an integer number (552445920).

Almost surely, 2^48855901842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48855901842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873943040).

48855901842 is an abundant number, since it is smaller than the sum of its proper divisors (74891984238).

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

48855901842 is a wasteful number, since it uses less digits than its factorization.

48855901842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 48855901842 in words is "forty-eight billion, eight hundred fifty-five million, nine hundred one thousand, eight hundred forty-two".