161101600013440 has 32 divisors (see below), whose sum is σ = 385133512533660. Its totient is φ = 64440640005120.

The previous prime is 161101600013423. The next prime is 161101600013443. The reversal of 161101600013440 is 44310006101161.

It can be written as a sum of positive squares in 2 ways, for example, as 160974584755776 + 127015257664 = 12687576^2 + 356392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×161101600013440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161101600013399 and 161101600013408.

It is not an unprimeable number, because it can be changed into a prime (161101600013443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125860624371 + ... + 125860625650.

Almost surely, 2^{161101600013440} is an apocalyptic number.

161101600013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161101600013440 is an abundant number, since it is smaller than the sum of its proper divisors (224031912520220).

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

161101600013440 is an equidigital number, since it uses as much as digits as its factorization.

161101600013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251721250040 (or 251721250028 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 161101600013440 in words is "one hundred sixty-one trillion, one hundred one billion, six hundred million, thirteen thousand, four hundred forty".