32348123136 has 312 divisors, whose sum is σ = 108438879744. Its totient is φ = 9099509760.

The previous prime is 32348123123. The next prime is 32348123177. The reversal of 32348123136 is 63132184323.

32348123136 is a `hidden beast` number, since 3 + 23 + 481 + 23 + 136 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 32348123136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17288281 + ... + 17290151.

It is an arithmetic number, because the mean of its divisors is an integer number (347560512).

Almost surely, 2^32348123136 is an apocalyptic number.

32348123136 is a gapful number since it is divisible by the number (36) 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 32348123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54219439872).

32348123136 is an abundant number, since it is smaller than the sum of its proper divisors (76090756608).

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

32348123136 is a wasteful number, since it uses less digits than its factorization.

32348123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1950 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 32348123136 in words is "thirty-two billion, three hundred forty-eight million, one hundred twenty-three thousand, one hundred thirty-six".