10945660363456 has 672 divisors, whose sum is σ = 29645310320640. Its totient is φ = 3962301235200.

The previous prime is 10945660363439. The next prime is 10945660363459. The reversal of 10945660363456 is 65436306654901.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10945660363456.

It is not an unprimeable number, because it can be changed into a prime (10945660363459) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2587012861 + ... + 2587017091.

It is an arithmetic number, because the mean of its divisors is an integer number (44115045120).

Almost surely, 2^{10945660363456} is an apocalyptic number.

10945660363456 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 10945660363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822655160320).

10945660363456 is an abundant number, since it is smaller than the sum of its proper divisors (18699649957184).

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

10945660363456 is a wasteful number, since it uses less digits than its factorization.

10945660363456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 58.

The spelling of 10945660363456 in words is "ten trillion, nine hundred forty-five billion, six hundred sixty million, three hundred sixty-three thousand, four hundred fifty-six".