10498000352 has 96 divisors (see below), whose sum is σ = 24018773184. Its totient is φ = 4423680000.

The previous prime is 10498000351. The next prime is 10498000379. The reversal of 10498000352 is 25300089401.

10498000352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10498000352² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10498000351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6556352 + ... + 6557952.

It is an arithmetic number, because the mean of its divisors is an integer number (250195554).

Almost surely, 2^10498000352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10498000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009386592).

10498000352 is an abundant number, since it is smaller than the sum of its proper divisors (13520772832).

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

10498000352 is a wasteful number, since it uses less digits than its factorization.

10498000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 10498000352 its reverse (25300089401), we get a palindrome (35798089753).

The spelling of 10498000352 in words is "ten billion, four hundred ninety-eight million, three hundred fifty-two", and thus it is an aban number.