1451454160520 has 192 divisors, whose sum is σ = 4092615298800. Its totient is φ = 459200931840.

The previous prime is 1451454160463. The next prime is 1451454160523. The reversal of 1451454160520 is 250614541541.

It can be written as a sum of positive squares in 8 ways, for example, as 25307082724 + 1426147077796 = 159082^2 + 1194214^2 .

It is not an unprimeable number, because it can be changed into a prime (1451454160523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88381910 + ... + 88398330.

Almost surely, 2^{1451454160520} is an apocalyptic number.

1451454160520 is a gapful number since it is divisible by the number (10) 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 1451454160520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046307649400).

1451454160520 is an abundant number, since it is smaller than the sum of its proper divisors (2641161138280).

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

1451454160520 is a wasteful number, since it uses less digits than its factorization.

1451454160520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19928 (or 19917 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The spelling of 1451454160520 in words is "one trillion, four hundred fifty-one billion, four hundred fifty-four million, one hundred sixty thousand, five hundred twenty".