10967032345801 has 45 divisors (see below), whose sum is σ = 13563192099459. Its totient is φ = 8841949210752.

The previous prime is 10967032345799. The next prime is 10967032345861. The reversal of 10967032345801 is 10854323076901.

The square root of 10967032345801 is 3311651.

It is a perfect power (a square), and thus also a powerful number.

10967032345801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 5697601911225 + 5269430434576 = 2386965^2 + 2295524^2 .

It is not a de Polignac number, because 10967032345801 - 2¹ = 10967032345799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10967032345861) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6699469155 + ... + 6699470791.

It is a 1-persistent number, because it is pandigital, but 2⋅10967032345801 = 21934064691602 is not.

Almost surely, 2^{10967032345801} is an apocalyptic number.

10967032345801 is the 3311651-st square number.

10967032345801 is the 1655826-th centered octagonal number.

It is an amenable number.

10967032345801 is a deficient number, since it is larger than the sum of its proper divisors (2596159753658).

10967032345801 is an frugal number, since it uses more digits than its factorization.

10967032345801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 10967032345801 by its sum of digits (49), we get a square (537384584944249 = 23181557²).

10967032345801 divided by its sum of digits (49) gives a square (223816986649 = 473093²).

The spelling of 10967032345801 in words is "ten trillion, nine hundred sixty-seven billion, thirty-two million, three hundred forty-five thousand, eight hundred one".