1456073563338 has 64 divisors (see below), whose sum is σ = 3420153475200. Its totient is φ = 457904689920.

The previous prime is 1456073563331. The next prime is 1456073563361. The reversal of 1456073563338 is 8333653706541.

1456073563338 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 0 + 73 + 563 + 3 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1456073563331) 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, 2697081 + ... + 3191612.

It is an arithmetic number, because the mean of its divisors is an integer number (53439898050).

Almost surely, 2^{1456073563338} is an apocalyptic number.

1456073563338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1456073563338 is an abundant number, since it is smaller than the sum of its proper divisors (1964079911862).

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

1456073563338 is a wasteful number, since it uses less digits than its factorization.

1456073563338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888964 (or 5888958 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 1456073563338 in words is "one trillion, four hundred fifty-six billion, seventy-three million, five hundred sixty-three thousand, three hundred thirty-eight".