54640346145728 has 224 divisors, whose sum is σ = 129177156326400. Its totient is φ = 22443815116800.

The previous prime is 54640346145709. The next prime is 54640346145731. The reversal of 54640346145728 is 82754164304645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1689490838 + ... + 1689523178.

It is an arithmetic number, because the mean of its divisors is an integer number (576683733600).

Almost surely, 2^{54640346145728} 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 54640346145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64588578163200).

54640346145728 is an abundant number, since it is smaller than the sum of its proper divisors (74536810180672).

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

54640346145728 is a wasteful number, since it uses less digits than its factorization.

54640346145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34019 (or 34009 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 59.

The spelling of 54640346145728 in words is "fifty-four trillion, six hundred forty billion, three hundred forty-six million, one hundred forty-five thousand, seven hundred twenty-eight".