161784000000 has 1120 divisors, whose sum is σ = 690516161280. Its totient is φ = 36633600000.

The previous prime is 161783999969. The next prime is 161784000031. The reversal of 161784000000 is 487161.

It is a happy number.

161784000000 is a `hidden beast` number, since 1 + 617 + 8 + 40 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161783999969) and next prime (161784000031).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1511999947 + ... + 1512000053.

Almost surely, 2^161784000000 is an apocalyptic number.

161784000000 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 161784000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345258080640).

161784000000 is an abundant number, since it is smaller than the sum of its proper divisors (528732161280).

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

161784000000 is an frugal number, since it uses more digits than its factorization.

161784000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 161784000000 its reverse (487161), we get a palindrome (161784487161).

The spelling of 161784000000 in words is "one hundred sixty-one billion, seven hundred eighty-four million", and thus it is an aban number.