1353106944 has 400 divisors, whose sum is σ = 4753267200. Its totient is φ = 375238656.

The previous prime is 1353106943. The next prime is 1353106973. The reversal of 1353106944 is 4496013531.

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 = 1353106899 and 1353106908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353106943) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17127897 + ... + 17127975.

It is an arithmetic number, because the mean of its divisors is an integer number (11883168).

Almost surely, 2^1353106944 is an apocalyptic number.

1353106944 is a gapful number since it is divisible by the number (14) 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 1353106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376633600).

1353106944 is an abundant number, since it is smaller than the sum of its proper divisors (3400160256).

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

1353106944 is an frugal number, since it uses more digits than its factorization.

1353106944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1353106944 is about 36784.6019959439. The cubic root of 1353106944 is about 1106.0566577364.

The spelling of 1353106944 in words is "one billion, three hundred fifty-three million, one hundred six thousand, nine hundred forty-four".