161142973784640 has 1680 divisors, whose sum is σ = 644157839952000. Its totient is φ = 37999990702080.

The previous prime is 161142973784633. The next prime is 161142973784687. The reversal of 161142973784640 is 46487379241161.

It is a happy number.

161142973784640 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 429 + 73 + 7 + 84 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 518144610085 + ... + 518144610395.

Almost surely, 2^{161142973784640} is an apocalyptic number.

161142973784640 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 161142973784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322078919976000).

161142973784640 is an abundant number, since it is smaller than the sum of its proper divisors (483014866167360).

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

161142973784640 is a wasteful number, since it uses less digits than its factorization.

161142973784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 161142973784640 in words is "one hundred sixty-one trillion, one hundred forty-two billion, nine hundred seventy-three million, seven hundred eighty-four thousand, six hundred forty".