1648954368 has 352 divisors, whose sum is σ = 5332025600. Its totient is φ = 501645312.

The previous prime is 1648954357. The next prime is 1648954369. The reversal of 1648954368 is 8634598461.

1648954368 is a `hidden beast` number, since 16 + 4 + 89 + 543 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1648954369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22588380 + ... + 22588452.

It is an arithmetic number, because the mean of its divisors is an integer number (15147800).

Almost surely, 2^1648954368 is an apocalyptic number.

1648954368 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 1648954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666012800).

1648954368 is an abundant number, since it is smaller than the sum of its proper divisors (3683071232).

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

1648954368 is a wasteful number, since it uses less digits than its factorization.

1648954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

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

The square root of 1648954368 is about 40607.3191432284. The cubic root of 1648954368 is about 1181.4160840800.

The spelling of 1648954368 in words is "one billion, six hundred forty-eight million, nine hundred fifty-four thousand, three hundred sixty-eight".