48416120119296 has 1344 divisors, whose sum is σ = 162343157558400. Its totient is φ = 14351069085696.

The previous prime is 48416120119243. The next prime is 48416120119319. The reversal of 48416120119296 is 69291102161484.

48416120119296 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 612 + 0 + 1 + 19 + 2 + 9 + 6 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 40583503276 + ... + 40583504468.

It is an arithmetic number, because the mean of its divisors is an integer number (120791039850).

Almost surely, 2^{48416120119296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48416120119296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81171578779200).

48416120119296 is an abundant number, since it is smaller than the sum of its proper divisors (113927037439104).

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

48416120119296 is a wasteful number, since it uses less digits than its factorization.

48416120119296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 48416120119296 in words is "forty-eight trillion, four hundred sixteen billion, one hundred twenty million, one hundred nineteen thousand, two hundred ninety-six".