433730077561056 has 48 divisors (see below), whose sum is σ = 1165019161832064. Its totient is φ = 141214443855744.

The previous prime is 433730077561051. The next prime is 433730077561091. The reversal of 433730077561056 is 650165770037334.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×433730077561056² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 433730077560987 and 433730077561005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433730077561051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52535131236 + ... + 52535139491.

It is an arithmetic number, because the mean of its divisors is an integer number (24271232538168).

Almost surely, 2^{433730077561056} is an apocalyptic number.

It is an amenable number.

433730077561056 is an abundant number, since it is smaller than the sum of its proper divisors (731289084271008).

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

433730077561056 is a wasteful number, since it uses less digits than its factorization.

433730077561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105070270783 (or 105070270775 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 57.

The spelling of 433730077561056 in words is "four hundred thirty-three trillion, seven hundred thirty billion, seventy-seven million, five hundred sixty-one thousand, fifty-six".