451436406426252 has 384 divisors, whose sum is σ = 1380753484185600. Its totient is φ = 126209062490112.

The previous prime is 451436406426233. The next prime is 451436406426277. The reversal of 451436406426252 is 252624604634154.

451436406426252 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 3 + 6 + 4 + 0 + 6 + 4 + 2 + 625 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6300805893 + ... + 6300877539.

It is an arithmetic number, because the mean of its divisors is an integer number (3595712198400).

Almost surely, 2^{451436406426252} 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 451436406426252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690376742092800).

451436406426252 is an abundant number, since it is smaller than the sum of its proper divisors (929317077759348).

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

451436406426252 is a wasteful number, since it uses less digits than its factorization.

451436406426252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80822 (or 80814 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 451436406426252 in words is "four hundred fifty-one trillion, four hundred thirty-six billion, four hundred six million, four hundred twenty-six thousand, two hundred fifty-two".