54948017871864 has 256 divisors, whose sum is σ = 170352883814400. Its totient is φ = 16296500160000.

The previous prime is 54948017871853. The next prime is 54948017871881. The reversal of 54948017871864 is 46817871084945.

54948017871864 is a `hidden beast` number, since 5 + 4 + 9 + 480 + 1 + 7 + 87 + 1 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54948017871792 and 54948017871801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20591602 + ... + 23106494.

It is an arithmetic number, because the mean of its divisors is an integer number (665440952400).

Almost surely, 2^{54948017871864} is an apocalyptic number.

54948017871864 is a gapful number since it is divisible by the number (54) 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 54948017871864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176441907200).

54948017871864 is an abundant number, since it is smaller than the sum of its proper divisors (115404865942536).

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

54948017871864 is a wasteful number, since it uses less digits than its factorization.

54948017871864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515203 (or 2515193 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 54948017871864 in words is "fifty-four trillion, nine hundred forty-eight billion, seventeen million, eight hundred seventy-one thousand, eight hundred sixty-four".