456066038208 has 224 divisors, whose sum is σ = 1331964783360. Its totient is φ = 136574115840.

The previous prime is 456066038201. The next prime is 456066038227. The reversal of 456066038208 is 802830660654.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456066038201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66256335 + ... + 66263217.

Almost surely, 2^456066038208 is an apocalyptic number.

456066038208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456066038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665982391680).

456066038208 is an abundant number, since it is smaller than the sum of its proper divisors (875898745152).

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

456066038208 is a wasteful number, since it uses less digits than its factorization.

456066038208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 456066038208 in words is "four hundred fifty-six billion, sixty-six million, thirty-eight thousand, two hundred eight".