451896496128 has 1560 divisors, whose sum is σ = 1812543796800. Its totient is φ = 111198044160.

The previous prime is 451896496111. The next prime is 451896496133. The reversal of 451896496128 is 821694698154.

451896496128 is a `hidden beast` number, since 4 + 5 + 1 + 8 + 9 + 6 + 4 + 9 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 119 ways as a sum of consecutive naturals, for example, 23784026103 + ... + 23784026121.

Almost surely, 2^451896496128 is an apocalyptic number.

451896496128 is a gapful number since it is divisible by the number (48) 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 451896496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906271898400).

451896496128 is an abundant number, since it is smaller than the sum of its proper divisors (1360647300672).

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

451896496128 is an equidigital number, since it uses as much as digits as its factorization.

451896496128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 42 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 451896496128 in words is "four hundred fifty-one billion, eight hundred ninety-six million, four hundred ninety-six thousand, one hundred twenty-eight".