1355190048 has 192 divisors, whose sum is σ = 4296499200. Its totient is φ = 413994240.

The previous prime is 1355190047. The next prime is 1355190049. The reversal of 1355190048 is 8400915531.

1355190048 is a `hidden beast` number, since 13 + 551 + 90 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1355190047) and next prime (1355190049).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1355189994 and 1355190021.

It is not an unprimeable number, because it can be changed into a prime (1355190047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507565 + ... + 510227.

It is an arithmetic number, because the mean of its divisors is an integer number (22377600).

Almost surely, 2^1355190048 is an apocalyptic number.

1355190048 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 1355190048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148249600).

1355190048 is an abundant number, since it is smaller than the sum of its proper divisors (2941309152).

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

1355190048 is a wasteful number, since it uses less digits than its factorization.

1355190048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1355190048 is about 36812.9059977612. The cubic root of 1355190048 is about 1106.6239569976.

The spelling of 1355190048 in words is "one billion, three hundred fifty-five million, one hundred ninety thousand, forty-eight".