54097106466816 has 336 divisors, whose sum is σ = 185345759617200. Its totient is φ = 15456313147392.

The previous prime is 54097106466779. The next prime is 54097106466839. The reversal of 54097106466816 is 61866460179045.

It is a happy number.

54097106466816 is a `hidden beast` number, since 5 + 4 + 0 + 97 + 1 + 0 + 6 + 466 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7862800 + ... + 13039088.

It is an arithmetic number, because the mean of its divisors is an integer number (551624284575).

Almost surely, 2^{54097106466816} is an apocalyptic number.

54097106466816 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 54097106466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92672879808600).

54097106466816 is an abundant number, since it is smaller than the sum of its proper divisors (131248653150384).

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

54097106466816 is an frugal number, since it uses more digits than its factorization.

54097106466816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176336 (or 5176301 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 54097106466816 in words is "fifty-four trillion, ninety-seven billion, one hundred six million, four hundred sixty-six thousand, eight hundred sixteen".