1456864668 has 108 divisors (see below), whose sum is σ = 4293466632. Its totient is φ = 415316160.

The previous prime is 1456864667. The next prime is 1456864697. The reversal of 1456864668 is 8664686541.

1456864668 is a `hidden beast` number, since 14 + 568 + 6 + 4 + 6 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456864663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1334803 + ... + 1335893.

Almost surely, 2^1456864668 is an apocalyptic number.

1456864668 is a gapful number since it is divisible by the number (18) 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 1456864668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146733316).

1456864668 is an abundant number, since it is smaller than the sum of its proper divisors (2836601964).

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

1456864668 is a wasteful number, since it uses less digits than its factorization.

1456864668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1860 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 1456864668 is about 38168.8966044343. The cubic root of 1456864668 is about 1133.6345415857.

The spelling of 1456864668 in words is "one billion, four hundred fifty-six million, eight hundred sixty-four thousand, six hundred sixty-eight".