161015506510144 has 448 divisors, whose sum is σ = 387985598058240. Its totient is φ = 65338859520000.

The previous prime is 161015506510091. The next prime is 161015506510147. The reversal of 161015506510144 is 441015605510161.

It is a junction number, because it is equal to n+sod(n) for n = 161015506510097 and 161015506510106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161015506510147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6828176434 + ... + 6828200014.

It is an arithmetic number, because the mean of its divisors is an integer number (866039281380).

Almost surely, 2^{161015506510144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161015506510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193992799029120).

161015506510144 is an abundant number, since it is smaller than the sum of its proper divisors (226970091548096).

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

161015506510144 is a wasteful number, since it uses less digits than its factorization.

161015506510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23890 (or 23880 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 40.

The spelling of 161015506510144 in words is "one hundred sixty-one trillion, fifteen billion, five hundred six million, five hundred ten thousand, one hundred forty-four".