43267145832064 has 256 divisors, whose sum is σ = 112154160384000. Its totient is φ = 16122062499840.

The previous prime is 43267145832061. The next prime is 43267145832073. The reversal of 43267145832064 is 46023854176234.

It is a junction number, because it is equal to n+sod(n) for n = 43267145831996 and 43267145832014.

It is not an unprimeable number, because it can be changed into a prime (43267145832061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2924041114 + ... + 2924055910.

It is an arithmetic number, because the mean of its divisors is an integer number (438102189000).

Almost surely, 2^{43267145832064} is an apocalyptic number.

43267145832064 is a gapful number since it is divisible by the number (44) 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 43267145832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56077080192000).

43267145832064 is an abundant number, since it is smaller than the sum of its proper divisors (68887014551936).

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

43267145832064 is a wasteful number, since it uses less digits than its factorization.

43267145832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27751 (or 27739 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 55.

It can be divided in two parts, 4326714 and 5832064, that added together give a triangular number (10158778 = T₄₅₀₇).

The spelling of 43267145832064 in words is "forty-three trillion, two hundred sixty-seven billion, one hundred forty-five million, eight hundred thirty-two thousand, sixty-four".