10842498432 has 128 divisors (see below), whose sum is σ = 32681779200. Its totient is φ = 3537216000.

The previous prime is 10842498397. The next prime is 10842498439. The reversal of 10842498432 is 23489424801.

10842498432 is a `hidden beast` number, since 108 + 4 + 24 + 98 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10842498439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129057 + ... + 195807.

It is an arithmetic number, because the mean of its divisors is an integer number (255326400).

Almost surely, 2^10842498432 is an apocalyptic number.

10842498432 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 10842498432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16340889600).

10842498432 is an abundant number, since it is smaller than the sum of its proper divisors (21839280768).

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

10842498432 is an equidigital number, since it uses as much as digits as its factorization.

10842498432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66821 (or 66803 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10842498432 in words is "ten billion, eight hundred forty-two million, four hundred ninety-eight thousand, four hundred thirty-two".