10354414332 has 96 divisors (see below), whose sum is σ = 26719338240. Its totient is φ = 3106944000.

The previous prime is 10354414277. The next prime is 10354414333. The reversal of 10354414332 is 23341445301.

It is a super-3 number, since 3×10354414332³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10354414332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10354414333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433707 + ... + 456957.

It is an arithmetic number, because the mean of its divisors is an integer number (278326440).

Almost surely, 2^10354414332 is an apocalyptic number.

10354414332 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 10354414332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359669120).

10354414332 is an abundant number, since it is smaller than the sum of its proper divisors (16364923908).

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

10354414332 is a wasteful number, since it uses less digits than its factorization.

10354414332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23371 (or 23369 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 10354414332 its reverse (23341445301), we get a palindrome (33695859633).

The spelling of 10354414332 in words is "ten billion, three hundred fifty-four million, four hundred fourteen thousand, three hundred thirty-two".