161953298658816 has 1440 divisors, whose sum is σ = 540571491076320. Its totient is φ = 42920772894720.

The previous prime is 161953298658791. The next prime is 161953298658817. The reversal of 161953298658816 is 618856892359161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161953298658817) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195359829090 + ... + 195359829918.

It is an arithmetic number, because the mean of its divisors is an integer number (375396868803).

Almost surely, 2^{161953298658816} is an apocalyptic number.

161953298658816 is a gapful number since it is divisible by the number (16) 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 161953298658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270285745538160).

161953298658816 is an abundant number, since it is smaller than the sum of its proper divisors (378618192417504).

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

161953298658816 is an equidigital number, since it uses as much as digits as its factorization.

161953298658816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 982 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 78.

The spelling of 161953298658816 in words is "one hundred sixty-one trillion, nine hundred fifty-three billion, two hundred ninety-eight million, six hundred fifty-eight thousand, eight hundred sixteen".