746322161223647 has 192 divisors, whose sum is σ = 875440444838400. Its totient is φ = 631919215411200.

The previous prime is 746322161223631. The next prime is 746322161223659.

746322161223647 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 746322161223647 - 2⁴ = 746322161223631 is a prime.

It is a super-4 number, since 4×746322161223647⁴ (a number of 61 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 746322161223592 and 746322161223601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746322161223697) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2637180781568 + ... + 2637180781850.

It is an arithmetic number, because the mean of its divisors is an integer number (4559585650200).

Almost surely, 2^{746322161223647} is an apocalyptic number.

746322161223647 is a deficient number, since it is larger than the sum of its proper divisors (129118283614753).

746322161223647 is a wasteful number, since it uses less digits than its factorization.

746322161223647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 689 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 56.

The spelling of 746322161223647 in words is "seven hundred forty-six trillion, three hundred twenty-two billion, one hundred sixty-one million, two hundred twenty-three thousand, six hundred forty-seven".