1948047552 has 168 divisors, whose sum is σ = 6140452032. Its totient is φ = 585561600.

The previous prime is 1948047547. The next prime is 1948047611. The reversal of 1948047552 is 2557408491.

1948047552 is a `hidden beast` number, since 1 + 94 + 8 + 0 + 4 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1948047498 and 1948047507.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 828843 + ... + 831189.

Almost surely, 2^1948047552 is an apocalyptic number.

1948047552 is a gapful number since it is divisible by the number (12) 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 1948047552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070226016).

1948047552 is an abundant number, since it is smaller than the sum of its proper divisors (4192404480).

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

1948047552 is a wasteful number, since it uses less digits than its factorization.

1948047552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1948047552 is about 44136.6916748412. The cubic root of 1948047552 is about 1248.9158710968.

The spelling of 1948047552 in words is "one billion, nine hundred forty-eight million, forty-seven thousand, five hundred fifty-two".