1053868806144 has 624 divisors, whose sum is σ = 3873255235200. Its totient is φ = 273696030720.

The previous prime is 1053868806101. The next prime is 1053868806163. The reversal of 1053868806144 is 4416088683501.

1053868806144 is a `hidden beast` number, since 1 + 0 + 538 + 6 + 8 + 8 + 0 + 61 + 44 = 666.

1053868806144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053868806144² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139084084 + ... + 139091660.

It is an arithmetic number, because the mean of its divisors is an integer number (6207139800).

Almost surely, 2^{1053868806144} is an apocalyptic number.

1053868806144 is a gapful number since it is divisible by the number (14) 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 1053868806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936627617600).

1053868806144 is an abundant number, since it is smaller than the sum of its proper divisors (2819386429056).

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

1053868806144 is an equidigital number, since it uses as much as digits as its factorization.

1053868806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1053868806144 in words is "one trillion, fifty-three billion, eight hundred sixty-eight million, eight hundred six thousand, one hundred forty-four".