1452145968 has 300 divisors, whose sum is σ = 5268204480. Its totient is φ = 382765824.

The previous prime is 1452145957. The next prime is 1452145979. The reversal of 1452145968 is 8695412541.

1452145968 is a `hidden beast` number, since 1 + 4 + 52 + 1 + 4 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1452145957) and next prime (1452145979).

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 59 ways as a sum of consecutive naturals, for example, 824673 + ... + 826431.

Almost surely, 2^1452145968 is an apocalyptic number.

1452145968 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 1452145968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634102240).

1452145968 is an abundant number, since it is smaller than the sum of its proper divisors (3816058512).

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

1452145968 is a wasteful number, since it uses less digits than its factorization.

1452145968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1784 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1452145968 is about 38107.0330516560. The cubic root of 1452145968 is about 1132.4092923271.

The spelling of 1452145968 in words is "one billion, four hundred fifty-two million, one hundred forty-five thousand, nine hundred sixty-eight".