54950112 has 144 divisors (see below), whose sum is σ = 181071072. Its totient is φ = 15482880.

The previous prime is 54950111. The next prime is 54950123. The reversal of 54950112 is 21105945.

54950112 is a `hidden beast` number, since 549 + 5 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54950111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195412 + ... + 195692.

It is an arithmetic number, because the mean of its divisors is an integer number (1257438).

Almost surely, 2^54950112 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 54950112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90535536).

54950112 is an abundant number, since it is smaller than the sum of its proper divisors (126120960).

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

54950112 is a wasteful number, since it uses less digits than its factorization.

54950112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 54950112 is about 7412.8342757679. The cubic root of 54950112 is about 380.1802284495.

The spelling of 54950112 in words is "fifty-four million, nine hundred fifty thousand, one hundred twelve".