18533763000090 has 112 divisors (see below), whose sum is σ = 53865839103048. Its totient is φ = 4562157022848.

The previous prime is 18533763000059. The next prime is 18533763000121. The reversal of 18533763000090 is 9000036733581.

18533763000090 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 3 + 7 + 630 + 0 + 0 + 0 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18533763000059) and next prime (18533763000121).

It can be written as a sum of positive squares in 4 ways, for example, as 14210736102369 + 4323026897721 = 3769713^2 + 2079189^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 97688089 + ... + 97877628.

Almost surely, 2^{18533763000090} is an apocalyptic number.

18533763000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18533763000090 is an abundant number, since it is smaller than the sum of its proper divisors (35332076102958).

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

18533763000090 is a wasteful number, since it uses less digits than its factorization.

18533763000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195565755 (or 195565740 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 18533763000090 in words is "eighteen trillion, five hundred thirty-three billion, seven hundred sixty-three million, ninety", and thus it is an aban number.