10338436152 has 192 divisors, whose sum is σ = 32207535360. Its totient is φ = 2965248000.

The previous prime is 10338436127. The next prime is 10338436217. The reversal of 10338436152 is 25163483301.

10338436152 is a `hidden beast` number, since 1 + 0 + 3 + 38 + 4 + 3 + 615 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1764027 + ... + 1769877.

It is an arithmetic number, because the mean of its divisors is an integer number (167747580).

Almost surely, 2^10338436152 is an apocalyptic number.

10338436152 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 10338436152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16103767680).

10338436152 is an abundant number, since it is smaller than the sum of its proper divisors (21869099208).

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

10338436152 is a wasteful number, since it uses less digits than its factorization.

10338436152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10338436152 in words is "ten billion, three hundred thirty-eight million, four hundred thirty-six thousand, one hundred fifty-two".