161919244032 has 864 divisors, whose sum is σ = 568997110080. Its totient is φ = 40461926400.

The previous prime is 161919244031. The next prime is 161919244073. The reversal of 161919244032 is 230442919161.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161919244031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1432913608 + ... + 1432913720.

It is an arithmetic number, because the mean of its divisors is an integer number (658561470).

Almost surely, 2^161919244032 is an apocalyptic number.

161919244032 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 161919244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284498555040).

161919244032 is an abundant number, since it is smaller than the sum of its proper divisors (407077866048).

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

161919244032 is a wasteful number, since it uses less digits than its factorization.

161919244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 161919244032 in words is "one hundred sixty-one billion, nine hundred nineteen million, two hundred forty-four thousand, thirty-two".