48101728682304 has 224 divisors, whose sum is σ = 155480342937600. Its totient is φ = 14461506823680.

The previous prime is 48101728682299. The next prime is 48101728682323. The reversal of 48101728682304 is 40328682710184.

48101728682304 is a `hidden beast` number, since 4 + 8 + 10 + 172 + 86 + 82 + 304 = 666.

48101728682304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48101728682304³ (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7548994 + ... + 12377025.

Almost surely, 2^{48101728682304} is an apocalyptic number.

48101728682304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48101728682304 is an abundant number, since it is smaller than the sum of its proper divisors (107378614255296).

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

48101728682304 is a wasteful number, since it uses less digits than its factorization.

48101728682304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19926178 (or 19926162 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 48101728682304 in words is "forty-eight trillion, one hundred one billion, seven hundred twenty-eight million, six hundred eighty-two thousand, three hundred four".