1351706572224 has 168 divisors, whose sum is σ = 4016016819360. Its totient is φ = 434164426752.

The previous prime is 1351706572213. The next prime is 1351706572247. The reversal of 1351706572224 is 4222756071531.

1351706572224 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 70 + 6 + 572 + 2 + 2 + 4 = 666.

It is a super-4 number, since 4×1351706572224⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1351706572224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8321674 + ... + 8482550.

It is an arithmetic number, because the mean of its divisors is an integer number (23904862020).

Almost surely, 2^{1351706572224} 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 1351706572224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008008409680).

1351706572224 is an abundant number, since it is smaller than the sum of its proper divisors (2664310247136).

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

1351706572224 is a wasteful number, since it uses less digits than its factorization.

1351706572224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161427 (or 161414 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1351706572224 in words is "one trillion, three hundred fifty-one billion, seven hundred six million, five hundred seventy-two thousand, two hundred twenty-four".