1601600146848 has 288 divisors, whose sum is σ = 5219827428816. Its totient is φ = 461453819904.

The previous prime is 1601600146819. The next prime is 1601600146873. The reversal of 1601600146848 is 8486410061061.

It can be written as a sum of positive squares in 8 ways, for example, as 677440932624 + 924159214224 = 823068^2 + 961332^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12474790 + ... + 12602522.

Almost surely, 2^{1601600146848} is an apocalyptic number.

1601600146848 is a gapful number since it is divisible by the number (18) 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 1601600146848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609913714408).

1601600146848 is an abundant number, since it is smaller than the sum of its proper divisors (3618227281968).

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

1601600146848 is a wasteful number, since it uses less digits than its factorization.

1601600146848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127976 (or 127965 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1601600146848 in words is "one trillion, six hundred one billion, six hundred million, one hundred forty-six thousand, eight hundred forty-eight".