54614513351640 has 256 divisors, whose sum is σ = 180633317760000. Its totient is φ = 13099597332480.

The previous prime is 54614513351627. The next prime is 54614513351663. The reversal of 54614513351640 is 4615331541645.

It is a self number, because there is not a number n which added to its sum of digits gives 54614513351640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455634436 + ... + 455754284.

It is an arithmetic number, because the mean of its divisors is an integer number (705598897500).

Almost surely, 2^{54614513351640} 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 54614513351640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316658880000).

54614513351640 is an abundant number, since it is smaller than the sum of its proper divisors (126018804408360).

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

54614513351640 is a wasteful number, since it uses less digits than its factorization.

54614513351640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123530 (or 123526 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 54614513351640 in words is "fifty-four trillion, six hundred fourteen billion, five hundred thirteen million, three hundred fifty-one thousand, six hundred forty".