1601485348800 has 168 divisors, whose sum is σ = 5332628578816. Its totient is φ = 420688604160.

The previous prime is 1601485348781. The next prime is 1601485348829. The reversal of 1601485348800 is 88435841061.

It is a super-2 number, since 2×1601485348800² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1601485348800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2168272 + ... + 2811471.

Almost surely, 2^{1601485348800} is an apocalyptic number.

1601485348800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601485348800 is an abundant number, since it is smaller than the sum of its proper divisors (3731143230016).

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

1601485348800 is a wasteful number, since it uses less digits than its factorization.

1601485348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979835 (or 4979820 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 1601485348800 in words is "one trillion, six hundred one billion, four hundred eighty-five million, three hundred forty-eight thousand, eight hundred".