54811385414464 has 168 divisors, whose sum is σ = 133199655876000. Its totient is φ = 22251509941248.

The previous prime is 54811385414437. The next prime is 54811385414501. The reversal of 54811385414464 is 46441458311845.

It is a junction number, because it is equal to n+sod(n) for n = 54811385414399 and 54811385414408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525419142 + ... + 525523450.

It is an arithmetic number, because the mean of its divisors is an integer number (792855094500).

Almost surely, 2^{54811385414464} 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 54811385414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66599827938000).

54811385414464 is an abundant number, since it is smaller than the sum of its proper divisors (78388270461536).

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

54811385414464 is a wasteful number, since it uses less digits than its factorization.

54811385414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113173 (or 113156 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 58.

The spelling of 54811385414464 in words is "fifty-four trillion, eight hundred eleven billion, three hundred eighty-five million, four hundred fourteen thousand, four hundred sixty-four".