1355041548 has 120 divisors (see below), whose sum is σ = 4067632800. Its totient is φ = 385316352.

The previous prime is 1355041547. The next prime is 1355041561. The reversal of 1355041548 is 8451405531.

1355041548 is a `hidden beast` number, since 13 + 550 + 41 + 54 + 8 = 666.

It is a super-2 number, since 2×1355041548² = 3672275193612472608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1355041547) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 518068 + ... + 520676.

It is an arithmetic number, because the mean of its divisors is an integer number (33896940).

Almost surely, 2^1355041548 is an apocalyptic number.

1355041548 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 1355041548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033816400).

1355041548 is an abundant number, since it is smaller than the sum of its proper divisors (2712591252).

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

1355041548 is a wasteful number, since it uses less digits than its factorization.

1355041548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1355041548 is about 36810.8889868202. Note that the first 3 decimals coincide. The cubic root of 1355041548 is about 1106.5835347063.

It can be divided in two parts, 13 and 55041548, that added together give a square (55041561 = 7419²).

The spelling of 1355041548 in words is "one billion, three hundred fifty-five million, forty-one thousand, five hundred forty-eight".