161395864388640 has 144 divisors (see below), whose sum is σ = 629443871155008. Its totient is φ = 36890483286528.

The previous prime is 161395864388537. The next prime is 161395864388641. The reversal of 161395864388640 is 46883468593161.

161395864388640 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 9 + 586 + 4 + 38 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×161395864388640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (161395864388641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8005737162 + ... + 8005757321.

It is an arithmetic number, because the mean of its divisors is an integer number (4371137994132).

Almost surely, 2^{161395864388640} is an apocalyptic number.

161395864388640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161395864388640 is an abundant number, since it is smaller than the sum of its proper divisors (468048006766368).

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

161395864388640 is a wasteful number, since it uses less digits than its factorization.

161395864388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16011494511 (or 16011494500 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 161395864388640 in words is "one hundred sixty-one trillion, three hundred ninety-five billion, eight hundred sixty-four million, three hundred eighty-eight thousand, six hundred forty".