163045940428800 has 1920 divisors, whose sum is σ = 709665860977920. Its totient is φ = 36483681484800.

The previous prime is 163045940428747. The next prime is 163045940428817. The reversal of 163045940428800 is 8824049540361.

163045940428800 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 4 + 594 + 0 + 42 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9488785009 + ... + 9488802191.

It is an arithmetic number, because the mean of its divisors is an integer number (369617635926).

Almost surely, 2^{163045940428800} is an apocalyptic number.

163045940428800 is a gapful number since it is divisible by the number (10) 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 163045940428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354832930488960).

163045940428800 is an abundant number, since it is smaller than the sum of its proper divisors (546619920549120).

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

163045940428800 is a wasteful number, since it uses less digits than its factorization.

163045940428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17259 (or 17217 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 163045940428800 in words is "one hundred sixty-three trillion, forty-five billion, nine hundred forty million, four hundred twenty-eight thousand, eight hundred".