1351460452464 has 280 divisors, whose sum is σ = 4102729289472. Its totient is φ = 430640945280.

The previous prime is 1351460452457. The next prime is 1351460452487. The reversal of 1351460452464 is 4642540641531.

1351460452464 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 4 + 60 + 4 + 524 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23544279 + ... + 23601609.

Almost surely, 2^{1351460452464} 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 1351460452464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051364644736).

1351460452464 is an abundant number, since it is smaller than the sum of its proper divisors (2751268837008).

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

1351460452464 is an equidigital number, since it uses as much as digits as its factorization.

1351460452464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57447 (or 57426 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 1351460452464 in words is "one trillion, three hundred fifty-one billion, four hundred sixty million, four hundred fifty-two thousand, four hundred sixty-four".