1351191456 has 240 divisors, whose sum is σ = 4158559944. Its totient is φ = 429981696.

The previous prime is 1351191427. The next prime is 1351191521. The reversal of 1351191456 is 6541911531.

1351191456 is a `hidden beast` number, since 1 + 3 + 511 + 91 + 4 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1257411600 + 93779856 = 35460^2 + 9684^2 .

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 1351191456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7000896 + ... + 7001088.

Almost surely, 2^1351191456 is an apocalyptic number.

1351191456 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 1351191456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079279972).

1351191456 is an abundant number, since it is smaller than the sum of its proper divisors (2807368488).

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

1351191456 is a wasteful number, since it uses less digits than its factorization.

1351191456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 308 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 1351191456 is about 36758.5562284484. The cubic root of 1351191456 is about 1105.5344918717.

The spelling of 1351191456 in words is "one billion, three hundred fifty-one million, one hundred ninety-one thousand, four hundred fifty-six".