161739648000 has 1056 divisors, whose sum is σ = 688653508608. Its totient is φ = 35721216000.

The previous prime is 161739647987. The next prime is 161739648001. The reversal of 161739648000 is 846937161.

It is a happy number.

161739648000 is a `hidden beast` number, since 16 + 1 + 73 + 96 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (161739648001) 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, 249983677 + ... + 249984323.

Almost surely, 2^161739648000 is an apocalyptic number.

161739648000 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 161739648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344326754304).

161739648000 is an abundant number, since it is smaller than the sum of its proper divisors (526913860608).

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

161739648000 is a wasteful number, since it uses less digits than its factorization.

161739648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 161739648000 in words is "one hundred sixty-one billion, seven hundred thirty-nine million, six hundred forty-eight thousand".