48427749450 has 144 divisors (see below), whose sum is σ = 135071104896. Its totient is φ = 12900384000.

The previous prime is 48427749439. The next prime is 48427749457. The reversal of 48427749450 is 5494772484.

48427749450 is a `hidden beast` number, since 4 + 84 + 2 + 77 + 49 + 450 = 666.

It is a super-3 number, since 3×48427749450³ (a number of 33 digits) contains 333 as substring.

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 (48427749457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17288050 + ... + 17290850.

It is an arithmetic number, because the mean of its divisors is an integer number (937993784).

Almost surely, 2^48427749450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48427749450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67535552448).

48427749450 is an abundant number, since it is smaller than the sum of its proper divisors (86643355446).

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

48427749450 is a wasteful number, since it uses less digits than its factorization.

48427749450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 48427749450 in words is "forty-eight billion, four hundred twenty-seven million, seven hundred forty-nine thousand, four hundred fifty".