1975431168 has 156 divisors (see below), whose sum is σ = 5849750088. Its totient is φ = 641925120.

The previous prime is 1975431167. The next prime is 1975431169. The reversal of 1975431168 is 8611345791.

1975431168 is a `hidden beast` number, since 1 + 97 + 543 + 1 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1975431167) and next prime (1975431169).

It is not an unprimeable number, because it can be changed into a prime (1975431167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1510771 + ... + 1512077.

It is an arithmetic number, because the mean of its divisors is an integer number (37498398).

Almost surely, 2^1975431168 is an apocalyptic number.

1975431168 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 1975431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924875044).

1975431168 is an abundant number, since it is smaller than the sum of its proper divisors (3874318920).

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

1975431168 is a wasteful number, since it uses less digits than its factorization.

1975431168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1353 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 1975431168 is about 44445.8228408475. The cubic root of 1975431168 is about 1254.7406474542.

The spelling of 1975431168 in words is "one billion, nine hundred seventy-five million, four hundred thirty-one thousand, one hundred sixty-eight".