1948403346761 has 2 divisors, whose sum is σ = 1948403346762. Its totient is φ = 1948403346760.

The previous prime is 1948403346677. The next prime is 1948403346767. The reversal of 1948403346761 is 1676433048491.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1843512217600 + 104891129161 = 1357760^2 + 323869^2 .

It is a cyclic number.

It is not a de Polignac number, because 1948403346761 - 2²² = 1948399152457 is a prime.

It is a super-2 number, since 2×1948403346761² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1948403346697 and 1948403346706.

It is not a weakly prime, because it can be changed into another prime (1948403346767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 974201673380 + 974201673381.

It is an arithmetic number, because the mean of its divisors is an integer number (974201673381).

Almost surely, 2^{1948403346761} is an apocalyptic number.

It is an amenable number.

1948403346761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1948403346761 is an equidigital number, since it uses as much as digits as its factorization.

1948403346761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 1948403346761 in words is "one trillion, nine hundred forty-eight billion, four hundred three million, three hundred forty-six thousand, seven hundred sixty-one".