48234416130450 has 576 divisors, whose sum is σ = 149729210467200. Its totient is φ = 11009646489600.

The previous prime is 48234416130403. The next prime is 48234416130463. The reversal of 48234416130450 is 5403161443284.

48234416130450 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 4 + 4 + 161 + 30 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 48234416130396 and 48234416130405.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10939987846 + ... + 10939992254.

It is an arithmetic number, because the mean of its divisors is an integer number (259946545950).

Almost surely, 2^{48234416130450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48234416130450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74864605233600).

48234416130450 is an abundant number, since it is smaller than the sum of its proper divisors (101494794336750).

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

48234416130450 is a wasteful number, since it uses less digits than its factorization.

48234416130450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 48234416130450 in words is "forty-eight trillion, two hundred thirty-four billion, four hundred sixteen million, one hundred thirty thousand, four hundred fifty".