10945125741312 has 720 divisors, whose sum is σ = 38337198592000. Its totient is φ = 3104400660480.

The previous prime is 10945125741307. The next prime is 10945125741367. The reversal of 10945125741312 is 21314752154901.

10945125741312 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 51 + 2 + 574 + 13 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 988624737 + ... + 988635807.

Almost surely, 2^{10945125741312} is an apocalyptic number.

10945125741312 is a gapful number since it is divisible by the number (12) 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 10945125741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19168599296000).

10945125741312 is an abundant number, since it is smaller than the sum of its proper divisors (27392072850688).

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

10945125741312 is an equidigital number, since it uses as much as digits as its factorization.

10945125741312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11259 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10945125741312 in words is "ten trillion, nine hundred forty-five billion, one hundred twenty-five million, seven hundred forty-one thousand, three hundred twelve".