1948169961 has 40 divisors (see below), whose sum is σ = 3090189960. Its totient is φ = 1218903552.

The previous prime is 1948169957. The next prime is 1948169987. The reversal of 1948169961 is 1699618491.

1948169961 is a `hidden beast` number, since 19 + 481 + 6 + 99 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16040025 + 1932129936 = 4005^2 + 43956^2 .

It is not a de Polignac number, because 1948169961 - 2² = 1948169957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1948169898 and 1948169907.

It is not an unprimeable number, because it can be changed into a prime (1948167961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 533835 + ... + 537471.

It is an arithmetic number, because the mean of its divisors is an integer number (77254749).

Almost surely, 2^1948169961 is an apocalyptic number.

It is an amenable number.

1948169961 is a deficient number, since it is larger than the sum of its proper divisors (1142019999).

1948169961 is a wasteful number, since it uses less digits than its factorization.

1948169961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4046 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 1948169961 is about 44138.0783564486. The cubic root of 1948169961 is about 1248.9420298252.

The spelling of 1948169961 in words is "one billion, nine hundred forty-eight million, one hundred sixty-nine thousand, nine hundred sixty-one".