1356106048 has 84 divisors (see below), whose sum is σ = 3132199476. Its totient is φ = 580096000.

The previous prime is 1356106043. The next prime is 1356106097. The reversal of 1356106048 is 8406016531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1202147584 + 153958464 = 34672^2 + 12408^2 .

It is a super-2 number, since 2×1356106048² = 3678047226844356608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356106043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126498 + ... + 136798.

It is an arithmetic number, because the mean of its divisors is an integer number (37288089).

Almost surely, 2^1356106048 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 1356106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566099738).

1356106048 is an abundant number, since it is smaller than the sum of its proper divisors (1776093428).

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

1356106048 is a wasteful number, since it uses less digits than its factorization.

1356106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1356106048 is about 36825.3451850760. The cubic root of 1356106048 is about 1106.8732305824.

The spelling of 1356106048 in words is "one billion, three hundred fifty-six million, one hundred six thousand, forty-eight".