54735166464 has 352 divisors, whose sum is σ = 164629893120. Its totient is φ = 16024780800.

The previous prime is 54735166463. The next prime is 54735166469. The reversal of 54735166464 is 46466153745.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54735166463) 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, 201974649 + ... + 201974919.

It is an arithmetic number, because the mean of its divisors is an integer number (467698560).

Almost surely, 2^54735166464 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 54735166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82314946560).

54735166464 is an abundant number, since it is smaller than the sum of its proper divisors (109894726656).

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

54735166464 is a wasteful number, since it uses less digits than its factorization.

54735166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 469 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 51.

The spelling of 54735166464 in words is "fifty-four billion, seven hundred thirty-five million, one hundred sixty-six thousand, four hundred sixty-four".