1053468803673 has 192 divisors, whose sum is σ = 1898608896000. Its totient is φ = 571862903040.

The previous prime is 1053468803627. The next prime is 1053468803713. The reversal of 1053468803673 is 3763088643501.

1053468803673 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 468 + 80 + 36 + 73 = 666.

It is not a de Polignac number, because 1053468803673 - 2²⁴ = 1053452026457 is a prime.

It is a super-2 number, since 2×1053468803673² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053468808673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1112426986 + ... + 1112427932.

It is an arithmetic number, because the mean of its divisors is an integer number (9888588000).

Almost surely, 2^{1053468803673} is an apocalyptic number.

1053468803673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1053468803673 is a deficient number, since it is larger than the sum of its proper divisors (845140092327).

1053468803673 is a wasteful number, since it uses less digits than its factorization.

1053468803673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1053468803673 in words is "one trillion, fifty-three billion, four hundred sixty-eight million, eight hundred three thousand, six hundred seventy-three".