332849153299392 has 448 divisors, whose sum is σ = 993064067573760. Its totient is φ = 109311850487808.

The previous prime is 332849153299343. The next prime is 332849153299393. The reversal of 332849153299392 is 293992351948233.

It is a happy number.

332849153299392 is a `hidden beast` number, since 3 + 3 + 2 + 84 + 9 + 1 + 532 + 9 + 9 + 3 + 9 + 2 = 666.

It is a super-2 number, since 2×332849153299392² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 332849153299392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332849153299393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67886832813 + ... + 67886837715.

It is an arithmetic number, because the mean of its divisors is an integer number (2216660865120).

Almost surely, 2^{332849153299392} is an apocalyptic number.

332849153299392 is a gapful number since it is divisible by the number (32) 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 332849153299392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496532033786880).

332849153299392 is an abundant number, since it is smaller than the sum of its proper divisors (660214914274368).

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

332849153299392 is a wasteful number, since it uses less digits than its factorization.

332849153299392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6881 counting only the distinct ones).

The product of its digits is 680244480, while the sum is 72.

The spelling of 332849153299392 in words is "three hundred thirty-two trillion, eight hundred forty-nine billion, one hundred fifty-three million, two hundred ninety-nine thousand, three hundred ninety-two".