452475611136 has 576 divisors, whose sum is σ = 1415693260800. Its totient is φ = 144223027200.

The previous prime is 452475611083. The next prime is 452475611143. The reversal of 452475611136 is 631116574254.

It is a happy number.

452475611136 is a `hidden beast` number, since 4 + 5 + 2 + 47 + 561 + 11 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 452475611091 and 452475611100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2144434071 + ... + 2144434281.

It is an arithmetic number, because the mean of its divisors is an integer number (2457800800).

Almost surely, 2^452475611136 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 452475611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707846630400).

452475611136 is an abundant number, since it is smaller than the sum of its proper divisors (963217649664).

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

452475611136 is a wasteful number, since it uses less digits than its factorization.

452475611136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 386 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

It can be divided in two parts, 452475 and 611136, that added together give a triangular number (1063611 = T₁₄₅₈).

The spelling of 452475611136 in words is "four hundred fifty-two billion, four hundred seventy-five million, six hundred eleven thousand, one hundred thirty-six".