48061181952 has 520 divisors, whose sum is σ = 167024974480. Its totient is φ = 13655900160.

The previous prime is 48061181879. The next prime is 48061181957. The reversal of 48061181952 is 25918116084.

It is a happy number.

48061181952 is a `hidden beast` number, since 480 + 6 + 1 + 1 + 81 + 95 + 2 = 666.

It is a super-3 number, since 3×48061181952³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48061181898 and 48061181907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48061181957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265531302 + ... + 265531482.

It is an arithmetic number, because the mean of its divisors is an integer number (321201874).

Almost surely, 2^48061181952 is an apocalyptic number.

48061181952 is a gapful number since it is divisible by the number (42) 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 48061181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83512487240).

48061181952 is an abundant number, since it is smaller than the sum of its proper divisors (118963792528).

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

48061181952 is an frugal number, since it uses more digits than its factorization.

48061181952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 48061181952 in words is "forty-eight billion, sixty-one million, one hundred eighty-one thousand, nine hundred fifty-two".