746305145233641 has 192 divisors, whose sum is σ = 1308539176648704. Its totient is φ = 400690036454400.

The previous prime is 746305145233619. The next prime is 746305145233663. The reversal of 746305145233641 is 146332541503647.

746305145233641 is a `hidden beast` number, since 7 + 4 + 6 + 3 + 0 + 51 + 4 + 523 + 3 + 64 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (746305145233619) and next prime (746305145233663).

It is not a de Polignac number, because 746305145233641 - 2¹³ = 746305145225449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (746305145231641) 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 191 ways as a sum of consecutive naturals, for example, 15579483496 + ... + 15579531398.

It is an arithmetic number, because the mean of its divisors is an integer number (6815308211712).

Almost surely, 2^{746305145233641} is an apocalyptic number.

It is an amenable number.

746305145233641 is a deficient number, since it is larger than the sum of its proper divisors (562234031415063).

746305145233641 is a wasteful number, since it uses less digits than its factorization.

746305145233641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48764 (or 48761 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 746305145233641 in words is "seven hundred forty-six trillion, three hundred five billion, one hundred forty-five million, two hundred thirty-three thousand, six hundred forty-one".