451258921152 has 560 divisors, whose sum is σ = 1511845291264. Its totient is φ = 132129792000.

The previous prime is 451258921133. The next prime is 451258921187. The reversal of 451258921152 is 251129852154.

451258921152 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 589 + 2 + 11 + 52 = 666.

It is a super-2 number, since 2×451258921152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 451258921098 and 451258921107.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127436502 + ... + 127440042.

Almost surely, 2^451258921152 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 451258921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755922645632).

451258921152 is an abundant number, since it is smaller than the sum of its proper divisors (1060586370112).

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

451258921152 is a wasteful number, since it uses less digits than its factorization.

451258921152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3651 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The spelling of 451258921152 in words is "four hundred fifty-one billion, two hundred fifty-eight million, nine hundred twenty-one thousand, one hundred fifty-two".