1663791948 has 384 divisors, whose sum is σ = 5651824640. Its totient is φ = 411505920.

The previous prime is 1663791947. The next prime is 1663791949. The reversal of 1663791948 is 8491973661.

It is an interprime number because it is at equal distance from previous prime (1663791947) and next prime (1663791949).

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

It is a junction number, because it is equal to n+sod(n) for n = 1663791894 and 1663791903.

It is not an unprimeable number, because it can be changed into a prime (1663791947) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13100661 + ... + 13100787.

Almost surely, 2^1663791948 is an apocalyptic number.

1663791948 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 1663791948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825912320).

1663791948 is an abundant number, since it is smaller than the sum of its proper divisors (3988032692).

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

1663791948 is a wasteful number, since it uses less digits than its factorization.

1663791948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1663791948 is about 40789.6058818910. The cubic root of 1663791948 is about 1184.9490380263.

The spelling of 1663791948 in words is "one billion, six hundred sixty-three million, seven hundred ninety-one thousand, nine hundred forty-eight".