1553763121344 has 672 divisors, whose sum is σ = 5402976483840. Its totient is φ = 436525479936.

The previous prime is 1553763121303. The next prime is 1553763121349. The reversal of 1553763121344 is 4431213673551.

1553763121344 is a `hidden beast` number, since 1 + 5 + 5 + 3 + 7 + 631 + 2 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 1553763121344.

It is not an unprimeable number, because it can be changed into a prime (1553763121349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1421557662 + ... + 1421558754.

Almost surely, 2^{1553763121344} is an apocalyptic number.

1553763121344 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 1553763121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701488241920).

1553763121344 is an abundant number, since it is smaller than the sum of its proper divisors (3849213362496).

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

1553763121344 is a wasteful number, since it uses less digits than its factorization.

1553763121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1371 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

Adding to 1553763121344 its reverse (4431213673551), we get a palindrome (5984976794895).

The spelling of 1553763121344 in words is "one trillion, five hundred fifty-three billion, seven hundred sixty-three million, one hundred twenty-one thousand, three hundred forty-four".