32849302193136 has 2240 divisors, whose sum is σ = 126124127539200. Its totient is φ = 8126654054400.

The previous prime is 32849302193131. The next prime is 32849302193137. The reversal of 32849302193136 is 63139120394823.

32849302193136 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 9 + 302 + 19 + 313 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32849302193131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 28490287536 + ... + 28490288688.

It is an arithmetic number, because the mean of its divisors is an integer number (56305414080).

Almost surely, 2^{32849302193136} is an apocalyptic number.

32849302193136 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 32849302193136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63062063769600).

32849302193136 is an abundant number, since it is smaller than the sum of its proper divisors (93274825346064).

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

32849302193136 is a wasteful number, since it uses less digits than its factorization.

32849302193136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 32849302193136 in words is "thirty-two trillion, eight hundred forty-nine billion, three hundred two million, one hundred ninety-three thousand, one hundred thirty-six".