1000152646344 has 192 divisors, whose sum is σ = 2829506949360. Its totient is φ = 318852218880.

The previous prime is 1000152646343. The next prime is 1000152646391. The reversal of 1000152646344 is 4436462510001.

1000152646344 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 5 + 2 + 646 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 299854808100 + 700297838244 = 547590^2 + 836838^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1000152646299 and 1000152646308.

It is not an unprimeable number, because it can be changed into a prime (1000152646343) 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, 293040382 + ... + 293043794.

Almost surely, 2^{1000152646344} 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 1000152646344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414753474680).

1000152646344 is an abundant number, since it is smaller than the sum of its proper divisors (1829354303016).

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

1000152646344 is a wasteful number, since it uses less digits than its factorization.

1000152646344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1000152646344 in words is "one trillion, one hundred fifty-two million, six hundred forty-six thousand, three hundred forty-four".