43661064769056 has 360 divisors, whose sum is σ = 155864587919040. Its totient is φ = 11932215660288.

The previous prime is 43661064769043. The next prime is 43661064769067. The reversal of 43661064769056 is 65096746016634.

43661064769056 is a `hidden beast` number, since 4 + 3 + 6 + 6 + 106 + 476 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×43661064769056² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 43661064768984 and 43661064769002.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 4551996 + ... + 10394363.

It is an arithmetic number, because the mean of its divisors is an integer number (432957188664).

Almost surely, 2^{43661064769056} is an apocalyptic number.

43661064769056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

43661064769056 is an abundant number, since it is smaller than the sum of its proper divisors (112203523149984).

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

43661064769056 is a wasteful number, since it uses less digits than its factorization.

43661064769056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14946418 (or 14946394 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 43661064769056 in words is "forty-three trillion, six hundred sixty-one billion, sixty-four million, seven hundred sixty-nine thousand, fifty-six".