1018106496 has 320 divisors, whose sum is σ = 3376771200. Its totient is φ = 301916160.

The previous prime is 1018106447. The next prime is 1018106497. The reversal of 1018106496 is 6946018101.

It is a happy number.

1018106496 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 1 + 0 + 649 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1018106496.

It is not an unprimeable number, because it can be changed into a prime (1018106497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9009736 + ... + 9009848.

It is an arithmetic number, because the mean of its divisors is an integer number (10552410).

Almost surely, 2^1018106496 is an apocalyptic number.

1018106496 is a gapful number since it is divisible by the number (16) 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 1018106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688385600).

1018106496 is an abundant number, since it is smaller than the sum of its proper divisors (2358664704).

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

1018106496 is a wasteful number, since it uses less digits than its factorization.

1018106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1018106496 is about 31907.7811199713. The cubic root of 1018106496 is about 1005.9994334849. Note that the first 3 decimals are identical.

The spelling of 1018106496 in words is "one billion, eighteen million, one hundred six thousand, four hundred ninety-six".