451191312000 has 768 divisors, whose sum is σ = 1903704042240. Its totient is φ = 100961280000.

The previous prime is 451191311999. The next prime is 451191312001. The reversal of 451191312000 is 213191154.

It is a happy number.

451191312000 is a `hidden beast` number, since 451 + 1 + 9 + 1 + 3 + 1 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (451191311999) and next prime (451191312001).

It is not an unprimeable number, because it can be changed into a prime (451191312001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20581045 + ... + 20602955.

It is an arithmetic number, because the mean of its divisors is an integer number (2478781305).

Almost surely, 2^451191312000 is an apocalyptic number.

451191312000 is a gapful number since it is divisible by the number (40) 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 451191312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951852021120).

451191312000 is an abundant number, since it is smaller than the sum of its proper divisors (1452512730240).

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

451191312000 is a wasteful number, since it uses less digits than its factorization.

451191312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21970 (or 21945 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 451191312000 in words is "four hundred fifty-one billion, one hundred ninety-one million, three hundred twelve thousand".