161318291904000 has 3840 divisors, whose sum is σ = 788151255091200. Its totient is φ = 31750963200000.

The previous prime is 161318291903969. The next prime is 161318291904013. The reversal of 161318291904000 is 409192813161.

161318291904000 is a `hidden beast` number, since 1 + 6 + 1 + 31 + 8 + 29 + 190 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27808701100 + ... + 27808706900.

It is an arithmetic number, because the mean of its divisors is an integer number (205247722680).

Almost surely, 2^{161318291904000} is an apocalyptic number.

161318291904000 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 161318291904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394075627545600).

161318291904000 is an abundant number, since it is smaller than the sum of its proper divisors (626832963187200).

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

161318291904000 is a wasteful number, since it uses less digits than its factorization.

161318291904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 161318291904000 in words is "one hundred sixty-one trillion, three hundred eighteen billion, two hundred ninety-one million, nine hundred four thousand".