1053444642048 has 432 divisors, whose sum is σ = 3282672993600. Its totient is φ = 336520396800.

The previous prime is 1053444642031. The next prime is 1053444642049. The reversal of 1053444642048 is 8402464443501.

It is a happy number.

1053444642048 is a `hidden beast` number, since 10 + 534 + 4 + 4 + 64 + 2 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1053444642048² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053444641994 and 1053444642012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053444642049) 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, 250758348 + ... + 250762548.

Almost surely, 2^{1053444642048} is an apocalyptic number.

1053444642048 is a gapful number since it is divisible by the number (18) 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 1053444642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641336496800).

1053444642048 is an abundant number, since it is smaller than the sum of its proper divisors (2229228351552).

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

1053444642048 is an equidigital number, since it uses as much as digits as its factorization.

1053444642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 1053444642048 in words is "one trillion, fifty-three billion, four hundred forty-four million, six hundred forty-two thousand, forty-eight".