48103446646080 has 1568 divisors, whose sum is σ = 206087561245440. Its totient is φ = 10456796528640.

The previous prime is 48103446646019. The next prime is 48103446646111. The reversal of 48103446646080 is 8064664430184.

It is a happy number.

48103446646080 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 3 + 44 + 66 + 460 + 80 = 666.

It is a super-3 number, since 3×48103446646080³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3172833700 + ... + 3172848860.

Almost surely, 2^{48103446646080} is an apocalyptic number.

48103446646080 is a gapful number since it is divisible by the number (40) 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 48103446646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103043780622720).

48103446646080 is an abundant number, since it is smaller than the sum of its proper divisors (157984114599360).

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

48103446646080 is a wasteful number, since it uses less digits than its factorization.

48103446646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15299 (or 15274 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 48103446646080 in words is "forty-eight trillion, one hundred three billion, four hundred forty-six million, six hundred forty-six thousand, eighty".