1638090009090 has 48 divisors (see below), whose sum is σ = 4259104200000. Its totient is φ = 436816804896.

The previous prime is 1638090009013. The next prime is 1638090009091. The reversal of 1638090009090 is 909000908361.

1638090009090 is a `hidden beast` number, since 1 + 638 + 0 + 9 + 0 + 0 + 0 + 9 + 0 + 9 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1638090009091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7497211 + ... + 7712609.

It is an arithmetic number, because the mean of its divisors is an integer number (88731337500).

Almost surely, 2^{1638090009090} is an apocalyptic number.

1638090009090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1638090009090 is an abundant number, since it is smaller than the sum of its proper divisors (2621014190910).

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

1638090009090 is a wasteful number, since it uses less digits than its factorization.

1638090009090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299911 (or 299908 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 1638090009090 in words is "one trillion, six hundred thirty-eight billion, ninety million, nine thousand, ninety".