10218884832 has 144 divisors (see below), whose sum is σ = 32454742320. Its totient is φ = 3144241152.

The previous prime is 10218884803. The next prime is 10218884839. The reversal of 10218884832 is 23848881201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10218884839) 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, 50544 + ... + 151632.

It is an arithmetic number, because the mean of its divisors is an integer number (225380155).

Almost surely, 2^10218884832 is an apocalyptic number.

10218884832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 101088×101089.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10218884832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16227371160).

10218884832 is an abundant number, since it is smaller than the sum of its proper divisors (22235857488).

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

10218884832 is a wasteful number, since it uses less digits than its factorization.

10218884832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101127 (or 101107 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 10218884832 in words is "ten billion, two hundred eighteen million, eight hundred eighty-four thousand, eight hundred thirty-two".