54945540034896 has 320 divisors, whose sum is σ = 174356791308288. Its totient is φ = 14552186609664.

The previous prime is 54945540034817. The next prime is 54945540034901. The reversal of 54945540034896 is 69843004554945.

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 63 ways as a sum of consecutive naturals, for example, 3315356466 + ... + 3315373038.

Almost surely, 2^{54945540034896} is an apocalyptic number.

54945540034896 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 54945540034896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87178395654144).

54945540034896 is an abundant number, since it is smaller than the sum of its proper divisors (119411251273392).

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

54945540034896 is a wasteful number, since it uses less digits than its factorization.

54945540034896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25338 (or 25332 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 66.

The spelling of 54945540034896 in words is "fifty-four trillion, nine hundred forty-five billion, five hundred forty million, thirty-four thousand, eight hundred ninety-six".