45242146666200 has 192 divisors, whose sum is σ = 154515575013120. Its totient is φ = 10859200960000.

The previous prime is 45242146666193. The next prime is 45242146666201. The reversal of 45242146666200 is 266664124254.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45242146666200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45242146666201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33268404 + ... + 34601603.

It is an arithmetic number, because the mean of its divisors is an integer number (804768619860).

Almost surely, 2^{45242146666200} is an apocalyptic number.

45242146666200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45242146666200 is an abundant number, since it is smaller than the sum of its proper divisors (109273428346920).

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

45242146666200 is a wasteful number, since it uses less digits than its factorization.

45242146666200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67870138 (or 67870129 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 45242146666200 in words is "forty-five trillion, two hundred forty-two billion, one hundred forty-six million, six hundred sixty-six thousand, two hundred".