48461029350444 has 144 divisors (see below), whose sum is σ = 128258577195840. Its totient is φ = 15411480215040.

The previous prime is 48461029350403. The next prime is 48461029350499. The reversal of 48461029350444 is 44405392016484.

48461029350444 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 1 + 0 + 2 + 93 + 504 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120447729 + ... + 120849399.

It is an arithmetic number, because the mean of its divisors is an integer number (890684563860).

Almost surely, 2^{48461029350444} 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 48461029350444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64129288597920).

48461029350444 is an abundant number, since it is smaller than the sum of its proper divisors (79797547845396).

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

48461029350444 is a wasteful number, since it uses less digits than its factorization.

48461029350444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403480 (or 403475 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 48461029350444 in words is "forty-eight trillion, four hundred sixty-one billion, twenty-nine million, three hundred fifty thousand, four hundred forty-four".