1601974848000 has 640 divisors, whose sum is σ = 5688175933440. Its totient is φ = 399114240000.

The previous prime is 1601974847929. The next prime is 1601974848017. The reversal of 1601974848000 is 8484791061.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×1601974848000³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172603360 + ... + 172612640.

It is an arithmetic number, because the mean of its divisors is an integer number (8887774896).

Almost surely, 2^{1601974848000} is an apocalyptic number.

1601974848000 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 1601974848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844087966720).

1601974848000 is an abundant number, since it is smaller than the sum of its proper divisors (4086201085440).

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

1601974848000 is an equidigital number, since it uses as much as digits as its factorization.

1601974848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 1601974848000 in words is "one trillion, six hundred one billion, nine hundred seventy-four million, eight hundred forty-eight thousand".