1353722464512 has 576 divisors, whose sum is σ = 4441830462720. Its totient is φ = 403262668800.

The previous prime is 1353722464487. The next prime is 1353722464517. The reversal of 1353722464512 is 2154642273531.

1353722464512 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 72 + 2 + 4 + 64 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1353722464517) 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, 1275892462 + ... + 1275893522.

It is an arithmetic number, because the mean of its divisors is an integer number (7711511220).

Almost surely, 2^{1353722464512} is an apocalyptic number.

1353722464512 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 1353722464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220915231360).

1353722464512 is an abundant number, since it is smaller than the sum of its proper divisors (3088107998208).

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

1353722464512 is a wasteful number, since it uses less digits than its factorization.

1353722464512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1347 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 1353722464512 in words is "one trillion, three hundred fifty-three billion, seven hundred twenty-two million, four hundred sixty-four thousand, five hundred twelve".