456705627136 has 176 divisors, whose sum is σ = 1027350194112. Its totient is φ = 201100492800.

The previous prime is 456705627101. The next prime is 456705627143. The reversal of 456705627136 is 631726507654.

It is a tau number, because it is divible by the number of its divisors (176).

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, 100438815 + ... + 100443361.

It is an arithmetic number, because the mean of its divisors is an integer number (5837217012).

Almost surely, 2^456705627136 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 456705627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513675097056).

456705627136 is an abundant number, since it is smaller than the sum of its proper divisors (570644566976).

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

456705627136 is a wasteful number, since it uses less digits than its factorization.

456705627136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 456705627136 in words is "four hundred fifty-six billion, seven hundred five million, six hundred twenty-seven thousand, one hundred thirty-six".