8118162282240 has 288 divisors, whose sum is σ = 29478164432640. Its totient is φ = 2114497695744.

The previous prime is 8118162282239. The next prime is 8118162282257. The reversal of 8118162282240 is 422822618118.

It is a happy number.

8118162282240 is a `hidden beast` number, since 8 + 1 + 18 + 1 + 622 + 8 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245322 + ... + 4217481.

Almost surely, 2^{8118162282240} is an apocalyptic number.

8118162282240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8118162282240 is an abundant number, since it is smaller than the sum of its proper divisors (21360002150400).

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

8118162282240 is a wasteful number, since it uses less digits than its factorization.

8118162282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462876 (or 5462856 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 8118162282240 in words is "eight trillion, one hundred eighteen billion, one hundred sixty-two million, two hundred eighty-two thousand, two hundred forty".