1014643602144 has 120 divisors (see below), whose sum is σ = 2991163661640. Its totient is φ = 337406978304.

The previous prime is 1014643602127. The next prime is 1014643602157. The reversal of 1014643602144 is 4412063464101.

1014643602144 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 4 + 3 + 602 + 1 + 44 = 666.

It is a super-2 number, since 2×1014643602144² (a number of 25 digits) contains 22 as substring.

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 = 1014643602099 and 1014643602108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 618922 + ... + 1553174.

It is an arithmetic number, because the mean of its divisors is an integer number (24926363847).

Almost surely, 2^{1014643602144} 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 1014643602144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495581830820).

1014643602144 is an abundant number, since it is smaller than the sum of its proper divisors (1976520059496).

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

1014643602144 is an equidigital number, since it uses as much as digits as its factorization.

1014643602144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934694 (or 934677 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1014643602144 in words is "one trillion, fourteen billion, six hundred forty-three million, six hundred two thousand, one hundred forty-four".