1553338944 has 140 divisors (see below), whose sum is σ = 4648517500. Its totient is φ = 512842752.

The previous prime is 1553338937. The next prime is 1553338967. The reversal of 1553338944 is 4498333551.

1553338944 is a `hidden beast` number, since 1 + 553 + 3 + 3 + 8 + 94 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 599270400 + 954068544 = 24480^2 + 30888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1553338944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 563682 + ... + 566430.

Almost surely, 2^1553338944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1553338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324258750).

1553338944 is an abundant number, since it is smaller than the sum of its proper divisors (3095178556).

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

1553338944 is a wasteful number, since it uses less digits than its factorization.

1553338944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2863 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1553338944 is about 39412.4211892647. The cubic root of 1553338944 is about 1158.1249294731.

The spelling of 1553338944 in words is "one billion, five hundred fifty-three million, three hundred thirty-eight thousand, nine hundred forty-four".