48189954355776 has 280 divisors, whose sum is σ = 143992745588736. Its totient is φ = 15934994749440.

The previous prime is 48189954355757. The next prime is 48189954355843. The reversal of 48189954355776 is 67755345998184.

48189954355776 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 9 + 9 + 5 + 4 + 35 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 48189954355695 and 48189954355704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1056056481 + ... + 1056102111.

Almost surely, 2^{48189954355776} 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 48189954355776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71996372794368).

48189954355776 is an abundant number, since it is smaller than the sum of its proper divisors (95802791232960).

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

48189954355776 is a wasteful number, since it uses less digits than its factorization.

48189954355776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47279 (or 47260 counting only the distinct ones).

The product of its digits is 9144576000, while the sum is 81.

The spelling of 48189954355776 in words is "forty-eight trillion, one hundred eighty-nine billion, nine hundred fifty-four million, three hundred fifty-five thousand, seven hundred seventy-six".