10450928711412 has 768 divisors, whose sum is σ = 36459627724800. Its totient is φ = 2546553157632.

The previous prime is 10450928711411. The next prime is 10450928711423. The reversal of 10450928711412 is 21411782905401.

It is a happy number.

10450928711412 is a `hidden beast` number, since 1 + 0 + 4 + 509 + 28 + 7 + 114 + 1 + 2 = 666.

10450928711412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10450928711411) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 454910758 + ... + 454933730.

It is an arithmetic number, because the mean of its divisors is an integer number (47473473600).

Almost surely, 2^{10450928711412} is an apocalyptic number.

10450928711412 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 10450928711412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229813862400).

10450928711412 is an abundant number, since it is smaller than the sum of its proper divisors (26008699013388).

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

10450928711412 is a wasteful number, since it uses less digits than its factorization.

10450928711412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23064 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10450928711412 in words is "ten trillion, four hundred fifty billion, nine hundred twenty-eight million, seven hundred eleven thousand, four hundred twelve".