1948492142838 has 24 divisors (see below), whose sum is σ = 4221765117648. Its totient is φ = 649492436112.

The previous prime is 1948492142819. The next prime is 1948492142869. The reversal of 1948492142838 is 8382412948491.

1948492142838 is a `hidden beast` number, since 1 + 9 + 484 + 9 + 2 + 142 + 8 + 3 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2621431 + ... + 3281597.

It is an arithmetic number, because the mean of its divisors is an integer number (175906879902).

Almost surely, 2^{1948492142838} is an apocalyptic number.

1948492142838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1948492142838 is an abundant number, since it is smaller than the sum of its proper divisors (2273272974810).

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

1948492142838 is a wasteful number, since it uses less digits than its factorization.

1948492142838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824148 (or 824145 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 1948492142838 in words is "one trillion, nine hundred forty-eight billion, four hundred ninety-two million, one hundred forty-two thousand, eight hundred thirty-eight".