161220181248 has 576 divisors, whose sum is σ = 569813565440. Its totient is φ = 44543416320.

The previous prime is 161220181223. The next prime is 161220181273. The reversal of 161220181248 is 842181022161.

161220181248 is a `hidden beast` number, since 1 + 612 + 2 + 0 + 18 + 1 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (161220181223) and next prime (161220181273).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121491561 + ... + 121492887.

Almost surely, 2^161220181248 is an apocalyptic number.

161220181248 is a gapful number since it is divisible by the number (18) 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 161220181248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284906782720).

161220181248 is an abundant number, since it is smaller than the sum of its proper divisors (408593384192).

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

161220181248 is an frugal number, since it uses more digits than its factorization.

161220181248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 161220181248 in words is "one hundred sixty-one billion, two hundred twenty million, one hundred eighty-one thousand, two hundred forty-eight".