546123222000 has 400 divisors, whose sum is σ = 1982971971552. Its totient is φ = 144869990400.

The previous prime is 546123221993. The next prime is 546123222013. The reversal of 546123222000 is 222321645.

It is a happy number.

546123222000 is a `hidden beast` number, since 5 + 4 + 612 + 3 + 22 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×546123222000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31257267 + ... + 31274733.

Almost surely, 2^546123222000 is an apocalyptic number.

546123222000 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 546123222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991485985776).

546123222000 is an abundant number, since it is smaller than the sum of its proper divisors (1436848749552).

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

546123222000 is a wasteful number, since it uses less digits than its factorization.

546123222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17695 (or 17670 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 546123222000 its reverse (222321645), we get a palindrome (546345543645).

The spelling of 546123222000 in words is "five hundred forty-six billion, one hundred twenty-three million, two hundred twenty-two thousand".