546450981433344 has 1664 divisors, whose sum is σ = 1956281928652800. Its totient is φ = 148907438899200.

The previous prime is 546450981433319. The next prime is 546450981433391. The reversal of 546450981433344 is 443334189054645.

546450981433344 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 509 + 81 + 4 + 3 + 3 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70120743112 + ... + 70120750904.

Almost surely, 2^{546450981433344} is an apocalyptic number.

546450981433344 is a gapful number since it is divisible by the number (54) 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 546450981433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978140964326400).

546450981433344 is an abundant number, since it is smaller than the sum of its proper divisors (1409830947219456).

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

546450981433344 is a wasteful number, since it uses less digits than its factorization.

546450981433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 63.

The spelling of 546450981433344 in words is "five hundred forty-six trillion, four hundred fifty billion, nine hundred eighty-one million, four hundred thirty-three thousand, three hundred forty-four".