451530015443104 has 192 divisors, whose sum is σ = 1014779702724480. Its totient is φ = 195920090726400.

The previous prime is 451530015443099. The next prime is 451530015443107. The reversal of 451530015443104 is 401344510035154.

It is a super-2 number, since 2×451530015443104² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (451530015443107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36264552079 + ... + 36264564529.

It is an arithmetic number, because the mean of its divisors is an integer number (5285310951690).

Almost surely, 2^{451530015443104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451530015443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507389851362240).

451530015443104 is an abundant number, since it is smaller than the sum of its proper divisors (563249687281376).

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

451530015443104 is a wasteful number, since it uses less digits than its factorization.

451530015443104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17823 (or 17815 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 451530015443104 its reverse (401344510035154), we get a palindrome (852874525478258).

The spelling of 451530015443104 in words is "four hundred fifty-one trillion, five hundred thirty billion, fifteen million, four hundred forty-three thousand, one hundred four".