10338337152 has 640 divisors, whose sum is σ = 38151590400. Its totient is φ = 2732175360.

The previous prime is 10338337151. The next prime is 10338337153. The reversal of 10338337152 is 25173383301.

It is an interprime number because it is at equal distance from previous prime (10338337151) and next prime (10338337153).

It is a super-2 number, since 2×10338337152² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338337151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28169673 + ... + 28170039.

It is an arithmetic number, because the mean of its divisors is an integer number (59611860).

Almost surely, 2^10338337152 is an apocalyptic number.

10338337152 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 10338337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19075795200).

10338337152 is an abundant number, since it is smaller than the sum of its proper divisors (27813253248).

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

10338337152 is a wasteful number, since it uses less digits than its factorization.

10338337152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10338337152 in words is "ten billion, three hundred thirty-eight million, three hundred thirty-seven thousand, one hundred fifty-two".