161834671840 has 192 divisors, whose sum is σ = 404217475200. Its totient is φ = 61107830784.

The previous prime is 161834671807. The next prime is 161834671841. The reversal of 161834671840 is 48176438161.

It is a happy number.

It is a super-2 number, since 2×161834671840² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161834671841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125549916 + ... + 125551204.

It is an arithmetic number, because the mean of its divisors is an integer number (2105299350).

Almost surely, 2^161834671840 is an apocalyptic number.

161834671840 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 161834671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202108737600).

161834671840 is an abundant number, since it is smaller than the sum of its proper divisors (242382803360).

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

161834671840 is a wasteful number, since it uses less digits than its factorization.

161834671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 161834671840 in words is "one hundred sixty-one billion, eight hundred thirty-four million, six hundred seventy-one thousand, eight hundred forty".