451134230220000 has 720 divisors, whose sum is σ = 1697851467552240. Its totient is φ = 113197713408000.

The previous prime is 451134230219999. The next prime is 451134230220029. The reversal of 451134230220000 is 22032431154.

451134230220000 is a `hidden beast` number, since 4 + 5 + 1 + 13 + 423 + 0 + 220 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×451134230220000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14085163986 + ... + 14085196014.

It is an arithmetic number, because the mean of its divisors is an integer number (2358127038267).

Almost surely, 2^{451134230220000} is an apocalyptic number.

451134230220000 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 451134230220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848925733776120).

451134230220000 is an abundant number, since it is smaller than the sum of its proper divisors (1246717237332240).

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

451134230220000 is a wasteful number, since it uses less digits than its factorization.

451134230220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36685 (or 36659 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 451134230220000 its reverse (22032431154), we get a palindrome (451156262651154).

The spelling of 451134230220000 in words is "four hundred fifty-one trillion, one hundred thirty-four billion, two hundred thirty million, two hundred twenty thousand".