1553418844992 has 588 divisors, whose sum is σ = 5507764512516. Its totient is φ = 432982609920.

The previous prime is 1553418844979. The next prime is 1553418845021. The reversal of 1553418844992 is 2994488143551.

1553418844992 is a `hidden beast` number, since 1 + 5 + 5 + 3 + 4 + 188 + 449 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 490078403136 + 1063340441856 = 700056^2 + 1031184^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is a super-2 number, since 2×1553418844992² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 93723618 + ... + 93740190.

Almost surely, 2^{1553418844992} is an apocalyptic number.

1553418844992 is a gapful number since it is divisible by the number (12) 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 1553418844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753882256258).

1553418844992 is an abundant number, since it is smaller than the sum of its proper divisors (3954345667524).

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

1553418844992 is an equidigital number, since it uses as much as digits as its factorization.

1553418844992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16658 (or 16626 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 1553418844992 in words is "one trillion, five hundred fifty-three billion, four hundred eighteen million, eight hundred forty-four thousand, nine hundred ninety-two".