1948546368 has 280 divisors, whose sum is σ = 6186139520. Its totient is φ = 604661760.

The previous prime is 1948546367. The next prime is 1948546373. The reversal of 1948546368 is 8636458491.

1948546368 is a `hidden beast` number, since 1 + 94 + 8 + 546 + 3 + 6 + 8 = 666.

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 Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948546367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7190073 + ... + 7190343.

Almost surely, 2^1948546368 is an apocalyptic number.

1948546368 is a gapful number since it is divisible by the number (18) 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 1948546368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093069760).

1948546368 is an abundant number, since it is smaller than the sum of its proper divisors (4237593152).

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

1948546368 is a wasteful number, since it uses less digits than its factorization.

1948546368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 368 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1948546368 is about 44142.3421218222. The cubic root of 1948546368 is about 1249.0224609065.

The spelling of 1948546368 in words is "one billion, nine hundred forty-eight million, five hundred forty-six thousand, three hundred sixty-eight".