451257496338432 has 1536 divisors, whose sum is σ = 1550217276057600. Its totient is φ = 115935805440000.

The previous prime is 451257496338349. The next prime is 451257496338457. The reversal of 451257496338432 is 234833694752154.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150369040932 + ... + 150369043932.

It is an arithmetic number, because the mean of its divisors is an integer number (1009256039100).

Almost surely, 2^{451257496338432} is an apocalyptic number.

451257496338432 is a gapful number since it is divisible by the number (42) 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 451257496338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775108638028800).

451257496338432 is an abundant number, since it is smaller than the sum of its proper divisors (1098959779719168).

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

451257496338432 is a wasteful number, since it uses less digits than its factorization.

451257496338432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3116 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 66.

The spelling of 451257496338432 in words is "four hundred fifty-one trillion, two hundred fifty-seven billion, four hundred ninety-six million, three hundred thirty-eight thousand, four hundred thirty-two".