54633456905472 has 432 divisors, whose sum is σ = 168742828800000. Its totient is φ = 16948173459456.

The previous prime is 54633456905471. The next prime is 54633456905513. The reversal of 54633456905472 is 27450965433645.

54633456905472 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 34 + 56 + 9 + 0 + 547 + 2 = 666.

It is a super-2 number, since 2×54633456905472² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54633456905471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4047215779 + ... + 4047229277.

It is an arithmetic number, because the mean of its divisors is an integer number (390608400000).

Almost surely, 2^{54633456905472} 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 54633456905472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84371414400000).

54633456905472 is an abundant number, since it is smaller than the sum of its proper divisors (114109371894528).

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

54633456905472 is a wasteful number, since it uses less digits than its factorization.

54633456905472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 63.

The spelling of 54633456905472 in words is "fifty-four trillion, six hundred thirty-three billion, four hundred fifty-six million, nine hundred five thousand, four hundred seventy-two".