1456351466064 has 80 divisors (see below), whose sum is σ = 4134221553600. Its totient is φ = 438097300480.

The previous prime is 1456351465951. The next prime is 1456351466069. The reversal of 1456351466064 is 4606641536541.

It is a junction number, because it is equal to n+sod(n) for n = 1456351465998 and 1456351466016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456351466069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9994239 + ... + 10138910.

It is an arithmetic number, because the mean of its divisors is an integer number (51677769420).

Almost surely, 2^{1456351466064} is an apocalyptic number.

It is an amenable number.

1456351466064 is an abundant number, since it is smaller than the sum of its proper divisors (2677870087536).

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

1456351466064 is a wasteful number, since it uses less digits than its factorization.

1456351466064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20133308 (or 20133302 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 1456351466064 in words is "one trillion, four hundred fifty-six billion, three hundred fifty-one million, four hundred sixty-six thousand, sixty-four".