54672431404416 has 256 divisors, whose sum is σ = 167226069058560. Its totient is φ = 15502526447616.

The previous prime is 54672431404373. The next prime is 54672431404417. The reversal of 54672431404416 is 61440413427645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54672431404417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538187541 + ... + 1538223083.

It is an arithmetic number, because the mean of its divisors is an integer number (653226832260).

Almost surely, 2^{54672431404416} is an apocalyptic number.

54672431404416 is a gapful number since it is divisible by the number (56) 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 54672431404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83613034529280).

54672431404416 is an abundant number, since it is smaller than the sum of its proper divisors (112553637654144).

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

54672431404416 is a wasteful number, since it uses less digits than its factorization.

54672431404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39881 (or 39869 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 54672431404416 in words is "fifty-four trillion, six hundred seventy-two billion, four hundred thirty-one million, four hundred four thousand, four hundred sixteen".