1600475117164 has 120 divisors (see below), whose sum is σ = 3546480761600. Its totient is φ = 619053636960.

The previous prime is 1600475117141. The next prime is 1600475117191. The reversal of 1600475117164 is 4617115740061.

It is a super-2 number, since 2×1600475117164² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1600475117164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56968729 + ... + 56996815.

Almost surely, 2^{1600475117164} is an apocalyptic number.

1600475117164 is a gapful number since it is divisible by the number (14) 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 1600475117164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773240380800).

1600475117164 is an abundant number, since it is smaller than the sum of its proper divisors (1946005644436).

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

1600475117164 is a wasteful number, since it uses less digits than its factorization.

1600475117164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28281 (or 28246 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 1600475117164 in words is "one trillion, six hundred billion, four hundred seventy-five million, one hundred seventeen thousand, one hundred sixty-four".