10284436512 has 144 divisors (see below), whose sum is σ = 34662543552. Its totient is φ = 2938394880.

The previous prime is 10284436507. The next prime is 10284436517. The reversal of 10284436512 is 21563448201.

It is a happy number.

10284436512 is a `hidden beast` number, since 1 + 0 + 284 + 4 + 365 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10284436507) and next prime (10284436517).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10284436512² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10284436517) 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, 40039 + ... + 148902.

It is an arithmetic number, because the mean of its divisors is an integer number (240712108).

Almost surely, 2^10284436512 is an apocalyptic number.

10284436512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10284436512 is an abundant number, since it is smaller than the sum of its proper divisors (24378107040).

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

10284436512 is an equidigital number, since it uses as much as digits as its factorization.

10284436512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188973 (or 188953 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10284436512 in words is "ten billion, two hundred eighty-four million, four hundred thirty-six thousand, five hundred twelve".