1352872458144 has 288 divisors, whose sum is σ = 4138509158784. Its totient is φ = 417683374080.

The previous prime is 1352872458089. The next prime is 1352872458149. The reversal of 1352872458144 is 4418542782531.

1352872458144 is a `hidden beast` number, since 1 + 3 + 5 + 287 + 245 + 81 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1352872458149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206133007 + ... + 206139569.

It is an arithmetic number, because the mean of its divisors is an integer number (14369823468).

Almost surely, 2^{1352872458144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352872458144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069254579392).

1352872458144 is an abundant number, since it is smaller than the sum of its proper divisors (2785636700640).

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

1352872458144 is a wasteful number, since it uses less digits than its factorization.

1352872458144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260 (or 7249 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 1352872458144 in words is "one trillion, three hundred fifty-two billion, eight hundred seventy-two million, four hundred fifty-eight thousand, one hundred forty-four".