1351262449152 has 640 divisors, whose sum is σ = 5061498900480. Its totient is φ = 345720545280.

The previous prime is 1351262449139. The next prime is 1351262449189. The reversal of 1351262449152 is 2519442621531.

1351262449152 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 624 + 4 + 9 + 15 + 2 = 666.

It is a super-2 number, since 2×1351262449152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1351262449098 and 1351262449107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71308543 + ... + 71327489.

It is an arithmetic number, because the mean of its divisors is an integer number (7908592032).

Almost surely, 2^{1351262449152} is an apocalyptic number.

1351262449152 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 1351262449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530749450240).

1351262449152 is an abundant number, since it is smaller than the sum of its proper divisors (3710236451328).

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

1351262449152 is a wasteful number, since it uses less digits than its factorization.

1351262449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19059 (or 19037 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 1351262449152 in words is "one trillion, three hundred fifty-one billion, two hundred sixty-two million, four hundred forty-nine thousand, one hundred fifty-two".