1948693824 has 336 divisors, whose sum is σ = 7103790720. Its totient is φ = 496005120.

The previous prime is 1948693801. The next prime is 1948693829. The reversal of 1948693824 is 4283968491.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948693829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2350242 + ... + 2351070.

Almost surely, 2^1948693824 is an apocalyptic number.

1948693824 is a gapful number since it is divisible by the number (14) 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 1948693824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551895360).

1948693824 is an abundant number, since it is smaller than the sum of its proper divisors (5155096896).

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

1948693824 is a wasteful number, since it uses less digits than its factorization.

1948693824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 905 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1948693824 is about 44144.0123233038. The cubic root of 1948693824 is about 1249.0539666507.

The spelling of 1948693824 in words is "one billion, nine hundred forty-eight million, six hundred ninety-three thousand, eight hundred twenty-four".