161634619763904 has 336 divisors, whose sum is σ = 527407886243840. Its totient is φ = 42748481064960.

The previous prime is 161634619763893. The next prime is 161634619763923. The reversal of 161634619763904 is 409367916436161.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×161634619763904³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18373452 + ... + 25707060.

Almost surely, 2^{161634619763904} is an apocalyptic number.

161634619763904 is a gapful number since it is divisible by the number (14) 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 161634619763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263703943121920).

161634619763904 is an abundant number, since it is smaller than the sum of its proper divisors (365773266479936).

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

161634619763904 is a wasteful number, since it uses less digits than its factorization.

161634619763904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333708 (or 7333675 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 66.

The spelling of 161634619763904 in words is "one hundred sixty-one trillion, six hundred thirty-four billion, six hundred nineteen million, seven hundred sixty-three thousand, nine hundred four".