10945754712000 has 672 divisors, whose sum is σ = 39960534556800. Its totient is φ = 2859411456000.

The previous prime is 10945754711909. The next prime is 10945754712001. The reversal of 10945754712000 is 21745754901.

10945754712000 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 575 + 4 + 71 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10945754712001) 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 95 ways as a sum of consecutive naturals, for example, 698464165 + ... + 698479835.

Almost surely, 2^{10945754712000} is an apocalyptic number.

10945754712000 is a gapful number since it is divisible by the number (10) 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 10945754712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980267278400).

10945754712000 is an abundant number, since it is smaller than the sum of its proper divisors (29014779844800).

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

10945754712000 is a wasteful number, since it uses less digits than its factorization.

10945754712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15902 (or 15879 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10945754712000 in words is "ten trillion, nine hundred forty-five billion, seven hundred fifty-four million, seven hundred twelve thousand".