54353521314 has 64 divisors (see below), whose sum is σ = 123131249280. Its totient is φ = 17766365760.

The previous prime is 54353521309. The next prime is 54353521319. The reversal of 54353521314 is 41312535345.

54353521314 is a `hidden beast` number, since 5 + 435 + 3 + 5 + 213 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (54353521309) and next prime (54353521319).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54353521319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6896344 + ... + 6904220.

It is an arithmetic number, because the mean of its divisors is an integer number (1923925770).

Almost surely, 2^54353521314 is an apocalyptic number.

54353521314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54353521314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61565624640).

54353521314 is an abundant number, since it is smaller than the sum of its proper divisors (68777727966).

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

54353521314 is a wasteful number, since it uses less digits than its factorization.

54353521314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352 (or 10346 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The spelling of 54353521314 in words is "fifty-four billion, three hundred fifty-three million, five hundred twenty-one thousand, three hundred fourteen".