1948978239936 has 224 divisors, whose sum is σ = 6362681955840. Its totient is φ = 512719663104.

The previous prime is 1948978239931. The next prime is 1948978239947. The reversal of 1948978239936 is 6399328798491.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948978239931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6795895 + ... + 7076873.

It is an arithmetic number, because the mean of its divisors is an integer number (28404830160).

Almost surely, 2^{1948978239936} is an apocalyptic number.

1948978239936 is a gapful number since it is divisible by the number (16) 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 1948978239936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181340977920).

1948978239936 is an abundant number, since it is smaller than the sum of its proper divisors (4413703715904).

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

1948978239936 is a wasteful number, since it uses less digits than its factorization.

1948978239936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281411 (or 281401 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 78.

The spelling of 1948978239936 in words is "one trillion, nine hundred forty-eight billion, nine hundred seventy-eight million, two hundred thirty-nine thousand, nine hundred thirty-six".