32449116663360 has 1848 divisors, whose sum is σ = 125899124717376. Its totient is φ = 7961581393920.

The previous prime is 32449116663343. The next prime is 32449116663373. The reversal of 32449116663360 is 6336661194423.

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

It is a junction number, because it is equal to n+sod(n) for n = 32449116663297 and 32449116663306.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 457029812125 + ... + 457029812195.

Almost surely, 2^{32449116663360} is an apocalyptic number.

32449116663360 is a gapful number since it is divisible by the number (30) 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 32449116663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62949562358688).

32449116663360 is an abundant number, since it is smaller than the sum of its proper divisors (93450008054016).

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

32449116663360 is an frugal number, since it uses more digits than its factorization.

32449116663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 32449116663360 in words is "thirty-two trillion, four hundred forty-nine billion, one hundred sixteen million, six hundred sixty-three thousand, three hundred sixty".