546011811072 has 864 divisors, whose sum is σ = 2010771689472. Its totient is φ = 138667769856.

The previous prime is 546011811067. The next prime is 546011811091. The reversal of 546011811072 is 270118110645.

546011811072 is a `hidden beast` number, since 5 + 460 + 1 + 18 + 110 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 660231523 + ... + 660232349.

It is an arithmetic number, because the mean of its divisors is an integer number (2327282048).

Almost surely, 2^546011811072 is an apocalyptic number.

546011811072 is a gapful number since it is divisible by the number (52) 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 546011811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005385844736).

546011811072 is an abundant number, since it is smaller than the sum of its proper divisors (1464759878400).

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

546011811072 is a wasteful number, since it uses less digits than its factorization.

546011811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 546011811072 in words is "five hundred forty-six billion, eleven million, eight hundred eleven thousand, seventy-two".