13450397722632 has 320 divisors, whose sum is σ = 42496646734080. Its totient is φ = 3943578659328.

The previous prime is 13450397722549. The next prime is 13450397722637. The reversal of 13450397722632 is 23622779305431.

13450397722632 is a `hidden beast` number, since 1 + 3 + 4 + 503 + 9 + 7 + 72 + 2 + 63 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13450397722637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50824798 + ... + 51088754.

It is an arithmetic number, because the mean of its divisors is an integer number (132802021044).

Almost surely, 2^{13450397722632} is an apocalyptic number.

13450397722632 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 13450397722632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248323367040).

13450397722632 is an abundant number, since it is smaller than the sum of its proper divisors (29046249011448).

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

13450397722632 is a wasteful number, since it uses less digits than its factorization.

13450397722632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264274 (or 264261 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 13450397722632 in words is "thirteen trillion, four hundred fifty billion, three hundred ninety-seven million, seven hundred twenty-two thousand, six hundred thirty-two".