1445617776768 has 128 divisors (see below), whose sum is σ = 4371137049600. Its totient is φ = 419019617280.

The previous prime is 1445617776767. The next prime is 1445617776773. The reversal of 1445617776768 is 8676777165441.

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

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (1445617776767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7342828 + ... + 7537131.

It is an arithmetic number, because the mean of its divisors is an integer number (34149508200).

Almost surely, 2^{1445617776768} is an apocalyptic number.

It is an amenable number.

1445617776768 is an abundant number, since it is smaller than the sum of its proper divisors (2925519272832).

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

1445617776768 is a wasteful number, since it uses less digits than its factorization.

1445617776768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14880010 (or 14879998 counting only the distinct ones).

The product of its digits is 331914240, while the sum is 69.

The spelling of 1445617776768 in words is "one trillion, four hundred forty-five billion, six hundred seventeen million, seven hundred seventy-six thousand, seven hundred sixty-eight".