1353561850368 has 840 divisors, whose sum is σ = 5080613405868. Its totient is φ = 356920639488.

The previous prime is 1353561850349. The next prime is 1353561850369. The reversal of 1353561850368 is 8630581653531.

1353561850368 is a `hidden beast` number, since 1 + 3 + 53 + 56 + 185 + 0 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1139496470784 + 214065379584 = 1067472^2 + 462672^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1353561850369) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 237756130 + ... + 237761822.

Almost surely, 2^{1353561850368} is an apocalyptic number.

1353561850368 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 1353561850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540306702934).

1353561850368 is an abundant number, since it is smaller than the sum of its proper divisors (3727051555500).

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

1353561850368 is an frugal number, since it uses more digits than its factorization.

1353561850368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 1353561850368 in words is "one trillion, three hundred fifty-three billion, five hundred sixty-one million, eight hundred fifty thousand, three hundred sixty-eight".