1948407886775 has 48 divisors (see below), whose sum is σ = 2789443797504. Its totient is φ = 1322385022080.

The previous prime is 1948407886771. The next prime is 1948407886801. The reversal of 1948407886775 is 5776887048491.

It is not a de Polignac number, because 1948407886775 - 2² = 1948407886771 is a prime.

It is a super-4 number, since 4×1948407886775⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948407886771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35535932 + ... + 35590718.

It is an arithmetic number, because the mean of its divisors is an integer number (58113412448).

Almost surely, 2^{1948407886775} is an apocalyptic number.

1948407886775 is a deficient number, since it is larger than the sum of its proper divisors (841035910729).

1948407886775 is a wasteful number, since it uses less digits than its factorization.

1948407886775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56880 (or 56875 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 74.

The spelling of 1948407886775 in words is "one trillion, nine hundred forty-eight billion, four hundred seven million, eight hundred eighty-six thousand, seven hundred seventy-five".