546997158316800 has 972 divisors, whose sum is σ = 2078175429659056. Its totient is φ = 137237151744000.

The previous prime is 546997158316769. The next prime is 546997158316823. The reversal of 546997158316800 is 8613851799645.

546997158316800 is a `hidden beast` number, since 5 + 469 + 9 + 7 + 1 + 5 + 83 + 1 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 82416323082 + ... + 82416329718.

Almost surely, 2^{546997158316800} is an apocalyptic number.

546997158316800 is a gapful number since it is divisible by the number (50) 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 546997158316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039087714829528).

546997158316800 is an abundant number, since it is smaller than the sum of its proper divisors (1531178271342256).

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

546997158316800 is a wasteful number, since it uses less digits than its factorization.

546997158316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11654 (or 11615 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 546997158316800 in words is "five hundred forty-six trillion, nine hundred ninety-seven billion, one hundred fifty-eight million, three hundred sixteen thousand, eight hundred".