451927307136 has 128 divisors (see below), whose sum is σ = 1264393468800. Its totient is φ = 142625691648.

The previous prime is 451927307123. The next prime is 451927307189. The reversal of 451927307136 is 631703729154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12333835 + ... + 12370421.

It is an arithmetic number, because the mean of its divisors is an integer number (9878073975).

Almost surely, 2^451927307136 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 451927307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632196734400).

451927307136 is an abundant number, since it is smaller than the sum of its proper divisors (812466161664).

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

451927307136 is a wasteful number, since it uses less digits than its factorization.

451927307136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38316 (or 38304 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 451927307136 in words is "four hundred fifty-one billion, nine hundred twenty-seven million, three hundred seven thousand, one hundred thirty-six".