1456667968 has 56 divisors (see below), whose sum is σ = 3310363712. Its totient is φ = 622992384.

The previous prime is 1456667963. The next prime is 1456667969. The reversal of 1456667968 is 8697666541.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456667963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231196 + ... + 237412.

Almost surely, 2^1456667968 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 1456667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655181856).

1456667968 is an abundant number, since it is smaller than the sum of its proper divisors (1853695744).

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

1456667968 is an equidigital number, since it uses as much as digits as its factorization.

1456667968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6759 (or 6749 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The square root of 1456667968 is about 38166.3198121066. The cubic root of 1456667968 is about 1133.5835196993.

The spelling of 1456667968 in words is "one billion, four hundred fifty-six million, six hundred sixty-seven thousand, nine hundred sixty-eight".