1117638648 has 168 divisors, whose sum is σ = 3655822680. Its totient is φ = 319243680.

The previous prime is 1117638637. The next prime is 1117638659. The reversal of 1117638648 is 8468367111.

1117638648 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 638 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1117638637) and next prime (1117638659).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1117638648² = 2498232295006535808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 283813 + ... + 287723.

Almost surely, 2^1117638648 is an apocalyptic number.

1117638648 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 1117638648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827911340).

1117638648 is an abundant number, since it is smaller than the sum of its proper divisors (2538184032).

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

1117638648 is an equidigital number, since it uses as much as digits as its factorization.

1117638648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3923 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1117638648 is about 33431.1030030419. The cubic root of 1117638648 is about 1037.7684671868.

The spelling of 1117638648 in words is "one billion, one hundred seventeen million, six hundred thirty-eight thousand, six hundred forty-eight".