1455914233216 has 128 divisors (see below), whose sum is σ = 3010075071840. Its totient is φ = 701049323520.

The previous prime is 1455914233199. The next prime is 1455914233217. The reversal of 1455914233216 is 6123324195541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455914233217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104486986 + ... + 104500918.

Almost surely, 2^{1455914233216} is an apocalyptic number.

1455914233216 is a gapful number since it is divisible by the number (16) 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 1455914233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505037535920).

1455914233216 is an abundant number, since it is smaller than the sum of its proper divisors (1554160838624).

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

1455914233216 is a wasteful number, since it uses less digits than its factorization.

1455914233216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14284 (or 14272 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The spelling of 1455914233216 in words is "one trillion, four hundred fifty-five billion, nine hundred fourteen million, two hundred thirty-three thousand, two hundred sixteen".