1868263488 has 336 divisors, whose sum is σ = 6822399360. Its totient is φ = 488208384.

The previous prime is 1868263477. The next prime is 1868263511. The reversal of 1868263488 is 8843628681.

1868263488 is a `hidden beast` number, since 1 + 86 + 82 + 6 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1868263488² = 6980816921187852288, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17139978 + ... + 17140086.

It is an arithmetic number, because the mean of its divisors is an integer number (20304760).

Almost surely, 2^1868263488 is an apocalyptic number.

1868263488 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 1868263488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411199680).

1868263488 is an abundant number, since it is smaller than the sum of its proper divisors (4954135872).

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

1868263488 is a wasteful number, since it uses less digits than its factorization.

1868263488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 134 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 1868263488 is about 43223.4136551013. The cubic root of 1868263488 is about 1231.6274946225.

It can be divided in two parts, 1868 and 263488, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 1868263488 in words is "one billion, eight hundred sixty-eight million, two hundred sixty-three thousand, four hundred eighty-eight".