48614252544 has 896 divisors, whose sum is σ = 178351891200. Its totient is φ = 12881756160.

The previous prime is 48614252543. The next prime is 48614252569. The reversal of 48614252544 is 44525241684.

48614252544 is a `hidden beast` number, since 4 + 8 + 61 + 42 + 5 + 2 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48614252544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48614252543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917250022 + ... + 917250074.

It is an arithmetic number, because the mean of its divisors is an integer number (199053450).

Almost surely, 2^48614252544 is an apocalyptic number.

48614252544 is a gapful number since it is divisible by the number (44) 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 48614252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89175945600).

48614252544 is an abundant number, since it is smaller than the sum of its proper divisors (129737638656).

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

48614252544 is a wasteful number, since it uses less digits than its factorization.

48614252544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The spelling of 48614252544 in words is "forty-eight billion, six hundred fourteen million, two hundred fifty-two thousand, five hundred forty-four".