1353504403152 has 240 divisors, whose sum is σ = 4196331988992. Its totient is φ = 403803290880.

The previous prime is 1353504403103. The next prime is 1353504403187. The reversal of 1353504403152 is 2513044053531.

1353504403152 is a `hidden beast` number, since 1 + 3 + 53 + 50 + 4 + 403 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 336105363 + ... + 336109389.

Almost surely, 2^{1353504403152} is an apocalyptic number.

1353504403152 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 1353504403152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098165994496).

1353504403152 is an abundant number, since it is smaller than the sum of its proper divisors (2842827585840).

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

1353504403152 is a wasteful number, since it uses less digits than its factorization.

1353504403152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 1353504403152 its reverse (2513044053531), we get a palindrome (3866548456683).

The spelling of 1353504403152 in words is "one trillion, three hundred fifty-three billion, five hundred four million, four hundred three thousand, one hundred fifty-two".