1350314496 has 320 divisors, whose sum is σ = 4330972800. Its totient is φ = 414056448.

The previous prime is 1350314479. The next prime is 1350314503. The reversal of 1350314496 is 6944130531.

1350314496 is a `hidden beast` number, since 1 + 3 + 503 + 144 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1350314496.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13920720 + ... + 13920816.

It is an arithmetic number, because the mean of its divisors is an integer number (13534290).

Almost surely, 2^1350314496 is an apocalyptic number.

1350314496 is a gapful number since it is divisible by the number (16) 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 1350314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165486400).

1350314496 is an abundant number, since it is smaller than the sum of its proper divisors (2980658304).

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

1350314496 is an equidigital number, since it uses as much as digits as its factorization.

1350314496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

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

The square root of 1350314496 is about 36746.6256410027. The cubic root of 1350314496 is about 1105.2952661263.

The spelling of 1350314496 in words is "one billion, three hundred fifty million, three hundred fourteen thousand, four hundred ninety-six".