45546373680192 has 2016 divisors, whose sum is σ = 182817736675200. Its totient is φ = 11129001246720.

The previous prime is 45546373680161. The next prime is 45546373680193. The reversal of 45546373680192 is 29108637364554.

45546373680192 is a `hidden beast` number, since 4 + 5 + 5 + 463 + 7 + 3 + 6 + 80 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45546373680193) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21802954284 + ... + 21802956372.

It is a 1-persistent number, because it is pandigital, but 2⋅45546373680192 = 91092747360384 is not.

Almost surely, 2^{45546373680192} is an apocalyptic number.

45546373680192 is a gapful number since it is divisible by the number (42) 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 45546373680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91408868337600).

45546373680192 is an abundant number, since it is smaller than the sum of its proper divisors (137271362995008).

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

45546373680192 is a wasteful number, since it uses less digits than its factorization.

45546373680192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 45546373680192 in words is "forty-five trillion, five hundred forty-six billion, three hundred seventy-three million, six hundred eighty thousand, one hundred ninety-two".