161038467072 has 456 divisors, whose sum is σ = 545258480000. Its totient is φ = 45779779584.

The previous prime is 161038467059. The next prime is 161038467101. The reversal of 161038467072 is 270764830161.

161038467072 is a `hidden beast` number, since 16 + 103 + 8 + 467 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809238429 + ... + 809238627.

Almost surely, 2^161038467072 is an apocalyptic number.

161038467072 is a gapful number since it is divisible by the number (12) 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 161038467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272629240000).

161038467072 is an abundant number, since it is smaller than the sum of its proper divisors (384220012928).

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

161038467072 is an frugal number, since it uses more digits than its factorization.

161038467072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 161038467072 in words is "one hundred sixty-one billion, thirty-eight million, four hundred sixty-seven thousand, seventy-two".