1451155968 has 120 divisors (see below), whose sum is σ = 4290842556. Its totient is φ = 471859200.

The previous prime is 1451155963. The next prime is 1451155991. The reversal of 1451155968 is 8695511541.

1451155968 is a `hidden beast` number, since 1 + 4 + 51 + 1 + 5 + 596 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1405350144 + 45805824 = 37488^2 + 6768^2 .

It is a super-3 number, since 3×1451155968³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1451155961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185088 + ... + 192768.

Almost surely, 2^1451155968 is an apocalyptic number.

1451155968 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 1451155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145421278).

1451155968 is an abundant number, since it is smaller than the sum of its proper divisors (2839686588).

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

1451155968 is an equidigital number, since it uses as much as digits as its factorization.

1451155968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7727 counting only the distinct ones).

The product of its digits is 216000, while the sum is 45.

The square root of 1451155968 is about 38094.0411088139. The cubic root of 1451155968 is about 1132.1518939463.

The spelling of 1451155968 in words is "one billion, four hundred fifty-one million, one hundred fifty-five thousand, nine hundred sixty-eight".