456011146304 has 112 divisors (see below), whose sum is σ = 1050586395648. Its totient is φ = 192336173568.

The previous prime is 456011146273. The next prime is 456011146307. The reversal of 456011146304 is 403641110654.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (456011146307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34902077 + ... + 34915139.

Almost surely, 2^456011146304 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 456011146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525293197824).

456011146304 is an abundant number, since it is smaller than the sum of its proper divisors (594575249344).

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

456011146304 is a wasteful number, since it uses less digits than its factorization.

456011146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14312 (or 14302 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 456011146304 its reverse (403641110654), we get a palindrome (859652256958).

The spelling of 456011146304 in words is "four hundred fifty-six billion, eleven million, one hundred forty-six thousand, three hundred four".