18532040896512 has 3328 divisors, whose sum is σ = 74094742794240. Its totient is φ = 4540606709760.

The previous prime is 18532040896483. The next prime is 18532040896559. The reversal of 18532040896512 is 21569804023581.

18532040896512 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 2 + 0 + 40 + 89 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×18532040896512² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 500865970158 + ... + 500865970194.

Almost surely, 2^{18532040896512} is an apocalyptic number.

18532040896512 is a gapful number since it is divisible by the number (12) 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 18532040896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37047371397120).

18532040896512 is an abundant number, since it is smaller than the sum of its proper divisors (55562701897728).

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

18532040896512 is a wasteful number, since it uses less digits than its factorization.

18532040896512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 18532040896512 in words is "eighteen trillion, five hundred thirty-two billion, forty million, eight hundred ninety-six thousand, five hundred twelve".