54630409338 has 80 divisors (see below), whose sum is σ = 128925925920. Its totient is φ = 17242261344.

The previous prime is 54630409333. The next prime is 54630409343. The reversal of 54630409338 is 83390403645.

54630409338 is a `hidden beast` number, since 5 + 4 + 6 + 304 + 0 + 9 + 338 = 666.

It is an interprime number because it is at equal distance from previous prime (54630409333) and next prime (54630409343).

It is a junction number, because it is equal to n+sod(n) for n = 54630409293 and 54630409302.

It is not an unprimeable number, because it can be changed into a prime (54630409331) 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 39 ways as a sum of consecutive naturals, for example, 7497445 + ... + 7504727.

It is an arithmetic number, because the mean of its divisors is an integer number (1611574074).

Almost surely, 2^54630409338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54630409338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64462962960).

54630409338 is an abundant number, since it is smaller than the sum of its proper divisors (74295516582).

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

54630409338 is a wasteful number, since it uses less digits than its factorization.

54630409338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9753 (or 9744 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 54630409338 in words is "fifty-four billion, six hundred thirty million, four hundred nine thousand, three hundred thirty-eight".