1948106784 has 192 divisors, whose sum is σ = 5999011200. Its totient is φ = 548093952.

The previous prime is 1948106777. The next prime is 1948106791. The reversal of 1948106784 is 4876018491.

It is an interprime number because it is at equal distance from previous prime (1948106777) and next prime (1948106791).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686232 + ... + 689064.

It is an arithmetic number, because the mean of its divisors is an integer number (31244850).

Almost surely, 2^1948106784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948106784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999505600).

1948106784 is an abundant number, since it is smaller than the sum of its proper divisors (4050904416).

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

1948106784 is a wasteful number, since it uses less digits than its factorization.

1948106784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 1948106784 is about 44137.3626760820. The cubic root of 1948106784 is about 1248.9285290758.

The spelling of 1948106784 in words is "one billion, nine hundred forty-eight million, one hundred six thousand, seven hundred eighty-four".