1350286008084 has 1152 divisors, whose sum is σ = 4432645324800. Its totient is φ = 353072079360.

The previous prime is 1350286008079. The next prime is 1350286008119. The reversal of 1350286008084 is 4808006820531.

1350286008084 is a `hidden beast` number, since 1 + 3 + 502 + 8 + 60 + 0 + 8 + 0 + 84 = 666.

It is a super-3 number, since 3×1350286008084³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10632173229 + ... + 10632173355.

It is an arithmetic number, because the mean of its divisors is an integer number (3847782400).

Almost surely, 2^{1350286008084} 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 1350286008084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216322662400).

1350286008084 is an abundant number, since it is smaller than the sum of its proper divisors (3082359316716).

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

1350286008084 is a wasteful number, since it uses less digits than its factorization.

1350286008084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1350286008084 in words is "one trillion, three hundred fifty billion, two hundred eighty-six million, eight thousand, eighty-four".