161983837398240 has 2304 divisors, whose sum is σ = 679840743859200. Its totient is φ = 35704605081600.

The previous prime is 161983837398197. The next prime is 161983837398247. The reversal of 161983837398240 is 42893738389161.

161983837398240 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 8 + 3 + 8 + 373 + 9 + 8 + 240 = 666.

161983837398240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161983837398247) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 184702208682 + ... + 184702209558.

It is an arithmetic number, because the mean of its divisors is an integer number (295069767300).

Almost surely, 2^{161983837398240} is an apocalyptic number.

161983837398240 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 161983837398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339920371929600).

161983837398240 is an abundant number, since it is smaller than the sum of its proper divisors (517856906460960).

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

161983837398240 is a wasteful number, since it uses less digits than its factorization.

161983837398240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 161983837398240 in words is "one hundred sixty-one trillion, nine hundred eighty-three billion, eight hundred thirty-seven million, three hundred ninety-eight thousand, two hundred forty".