456787654323456 has 72 divisors (see below), whose sum is σ = 1268578757436480. Its totient is φ = 145642440503296.

The previous prime is 456787654323431. The next prime is 456787654323457. The reversal of 456787654323456 is 654323456787654.

456787654323456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×456787654323456² (a number of 30 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456787654323457) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12929886501 + ... + 12929921828.

It is an arithmetic number, because the mean of its divisors is an integer number (17619149408840).

Almost surely, 2^{456787654323456} is an apocalyptic number.

456787654323456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

456787654323456 is an abundant number, since it is smaller than the sum of its proper divisors (811791103113024).

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

456787654323456 is a wasteful number, since it uses less digits than its factorization.

456787654323456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25859808371 (or 25859808357 counting only the distinct ones).

The product of its digits is 12192768000, while the sum is 75.

The spelling of 456787654323456 in words is "four hundred fifty-six trillion, seven hundred eighty-seven billion, six hundred fifty-four million, three hundred twenty-three thousand, four hundred fifty-six".