451148981760 has 960 divisors, whose sum is σ = 1742854164480. Its totient is φ = 107409899520.

The previous prime is 451148981747. The next prime is 451148981771. The reversal of 451148981760 is 67189841154.

451148981760 is a `hidden beast` number, since 4 + 5 + 11 + 489 + 81 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 451148981697 and 451148981706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476397607 + ... + 476398553.

It is an arithmetic number, because the mean of its divisors is an integer number (1815473088).

Almost surely, 2^451148981760 is an apocalyptic number.

451148981760 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 451148981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871427082240).

451148981760 is an abundant number, since it is smaller than the sum of its proper divisors (1291705182720).

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

451148981760 is a wasteful number, since it uses less digits than its factorization.

451148981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 451148981760 in words is "four hundred fifty-one billion, one hundred forty-eight million, nine hundred eighty-one thousand, seven hundred sixty".