54632403484736 has 672 divisors, whose sum is σ = 140654653042176. Its totient is φ = 20600900812800.

The previous prime is 54632403484733. The next prime is 54632403484751. The reversal of 54632403484736 is 63748430423645.

It is not an unprimeable number, because it can be changed into a prime (54632403484733) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94683541280 + ... + 94683541856.

It is an arithmetic number, because the mean of its divisors is an integer number (209307519408).

Almost surely, 2^{54632403484736} is an apocalyptic number.

54632403484736 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 54632403484736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70327326521088).

54632403484736 is an abundant number, since it is smaller than the sum of its proper divisors (86022249557440).

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

54632403484736 is a wasteful number, since it uses less digits than its factorization.

54632403484736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 59.

The spelling of 54632403484736 in words is "fifty-four trillion, six hundred thirty-two billion, four hundred three million, four hundred eighty-four thousand, seven hundred thirty-six".