1456465841370 has 112 divisors (see below), whose sum is σ = 3933328778280. Its totient is φ = 388127158272.

The previous prime is 1456465841339. The next prime is 1456465841491. The reversal of 1456465841370 is 731485646541.

1456465841370 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 46 + 584 + 13 + 7 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1298786167449 + 157679673921 = 1139643^2 + 397089^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10787722 + ... + 10921898.

Almost surely, 2^{1456465841370} is an apocalyptic number.

1456465841370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456465841370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966664389140).

1456465841370 is an abundant number, since it is smaller than the sum of its proper divisors (2476862936910).

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

1456465841370 is a wasteful number, since it uses less digits than its factorization.

1456465841370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135691 (or 135676 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1456465841370 in words is "one trillion, four hundred fifty-six billion, four hundred sixty-five million, eight hundred forty-one thousand, three hundred seventy".