161611101650040 has 384 divisors, whose sum is σ = 565327298833920. Its totient is φ = 36852133248000.

The previous prime is 161611101649993. The next prime is 161611101650083. The reversal of 161611101650040 is 40056101116161.

It is a super-2 number, since 2×161611101650040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161611101649983 and 161611101650010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9053327115 + ... + 9053344965.

It is an arithmetic number, because the mean of its divisors is an integer number (1472206507380).

Almost surely, 2^{161611101650040} is an apocalyptic number.

161611101650040 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 161611101650040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282663649416960).

161611101650040 is an abundant number, since it is smaller than the sum of its proper divisors (403716197183880).

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

161611101650040 is a wasteful number, since it uses less digits than its factorization.

161611101650040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21443 (or 21432 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 161611101650040 in words is "one hundred sixty-one trillion, six hundred eleven billion, one hundred one million, six hundred fifty thousand, forty".