161018537311632 has 480 divisors, whose sum is σ = 562223672524800. Its totient is φ = 38560667258880.

The previous prime is 161018537311627. The next prime is 161018537311637. The reversal of 161018537311632 is 236113735810161.

161018537311632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161018537311627) and next prime (161018537311637).

It is a super-3 number, since 3×161018537311632³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (161018537311637) 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, 535152369 + ... + 535453167.

It is an arithmetic number, because the mean of its divisors is an integer number (1171299317760).

Almost surely, 2^{161018537311632} is an apocalyptic number.

161018537311632 is a gapful number since it is divisible by the number (12) 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 161018537311632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281111836262400).

161018537311632 is an abundant number, since it is smaller than the sum of its proper divisors (401205135213168).

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

161018537311632 is a wasteful number, since it uses less digits than its factorization.

161018537311632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301711 (or 301692 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 161018537311632 in words is "one hundred sixty-one trillion, eighteen billion, five hundred thirty-seven million, three hundred eleven thousand, six hundred thirty-two".