345632441456833 has 48 divisors (see below), whose sum is σ = 371477062398720. Its totient is φ = 321451880486400.

The previous prime is 345632441456831. The next prime is 345632441456843. The reversal of 345632441456833 is 338654144236543.

It is a happy number.

It is not a de Polignac number, because 345632441456833 - 2¹ = 345632441456831 is a prime.

It is a super-2 number, since 2×345632441456833² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345632441456831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42104081833 + ... + 42104090041.

It is an arithmetic number, because the mean of its divisors is an integer number (7739105466640).

Almost surely, 2^{345632441456833} is an apocalyptic number.

It is an amenable number.

345632441456833 is a deficient number, since it is larger than the sum of its proper divisors (25844620941887).

345632441456833 is a wasteful number, since it uses less digits than its factorization.

345632441456833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11766 (or 11747 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 61.

The spelling of 345632441456833 in words is "three hundred forty-five trillion, six hundred thirty-two billion, four hundred forty-one million, four hundred fifty-six thousand, eight hundred thirty-three".