546284406096 has 960 divisors, whose sum is σ = 1931416381440. Its totient is φ = 141834240000.

The previous prime is 546284406071. The next prime is 546284406121. The reversal of 546284406096 is 690604482645.

546284406096 is a `hidden beast` number, since 5 + 4 + 6 + 28 + 4 + 4 + 0 + 609 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (546284406071) and next prime (546284406121).

It is a super-2 number, since 2×546284406096² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2385521310 + ... + 2385521538.

It is an arithmetic number, because the mean of its divisors is an integer number (2011892064).

Almost surely, 2^546284406096 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 546284406096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965708190720).

546284406096 is an abundant number, since it is smaller than the sum of its proper divisors (1385131975344).

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

546284406096 is a wasteful number, since it uses less digits than its factorization.

546284406096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 546284406096 in words is "five hundred forty-six billion, two hundred eighty-four million, four hundred six thousand, ninety-six".