1553845248 has 176 divisors, whose sum is σ = 4712357760. Its totient is φ = 505516032.

The previous prime is 1553845219. The next prime is 1553845283. The reversal of 1553845248 is 8425483551.

1553845248 is a `hidden beast` number, since 1 + 553 + 8 + 4 + 52 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188211 + ... + 1189517.

It is an arithmetic number, because the mean of its divisors is an integer number (26774760).

Almost surely, 2^1553845248 is an apocalyptic number.

1553845248 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 1553845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356178880).

1553845248 is an abundant number, since it is smaller than the sum of its proper divisors (3158512512).

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

1553845248 is a wasteful number, since it uses less digits than its factorization.

1553845248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1355 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 1553845248 is about 39418.8438186611. The cubic root of 1553845248 is about 1158.2507443810.

The spelling of 1553845248 in words is "one billion, five hundred fifty-three million, eight hundred forty-five thousand, two hundred forty-eight".