456946365648 has 40 divisors (see below), whose sum is σ = 1182280697248. Its totient is φ = 152078562432.

The previous prime is 456946365637. The next prime is 456946365649. The reversal of 456946365648 is 846563649654.

It is a super-3 number, since 3×456946365648³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456946365649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7371715 + ... + 7433442.

Almost surely, 2^456946365648 is an apocalyptic number.

456946365648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

456946365648 is an abundant number, since it is smaller than the sum of its proper divisors (725334331600).

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

456946365648 is a wasteful number, since it uses less digits than its factorization.

456946365648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14805811 (or 14805805 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 66.

The spelling of 456946365648 in words is "four hundred fifty-six billion, nine hundred forty-six million, three hundred sixty-five thousand, six hundred forty-eight".