161137211203584 has 1568 divisors, whose sum is σ = 606957027505920. Its totient is φ = 41536231833600.

The previous prime is 161137211203429. The next prime is 161137211203643. The reversal of 161137211203584 is 485302112731161.

161137211203584 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 37 + 2 + 11 + 20 + 3 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 63917972244 + ... + 63917974764.

Almost surely, 2^{161137211203584} is an apocalyptic number.

161137211203584 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 161137211203584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303478513752960).

161137211203584 is an abundant number, since it is smaller than the sum of its proper divisors (445819816302336).

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

161137211203584 is an equidigital number, since it uses as much as digits as its factorization.

161137211203584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 161137211203584 in words is "one hundred sixty-one trillion, one hundred thirty-seven billion, two hundred eleven million, two hundred three thousand, five hundred eighty-four".