1601110174464 has 144 divisors (see below), whose sum is σ = 4735734115840. Its totient is φ = 533594096640.

The previous prime is 1601110174457. The next prime is 1601110174493. The reversal of 1601110174464 is 4644710111061.

1601110174464 is a `hidden beast` number, since 1 + 6 + 0 + 11 + 10 + 174 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38181669 + ... + 38223579.

Almost surely, 2^{1601110174464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601110174464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367867057920).

1601110174464 is an abundant number, since it is smaller than the sum of its proper divisors (3134623941376).

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

1601110174464 is an equidigital number, since it uses as much as digits as its factorization.

1601110174464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47463 (or 47443 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1601110174464 in words is "one trillion, six hundred one billion, one hundred ten million, one hundred seventy-four thousand, four hundred sixty-four".