10000406464345 has 32 divisors (see below), whose sum is σ = 13861819681920. Its totient is φ = 6845052963840.

The previous prime is 10000406464343. The next prime is 10000406464381. The reversal of 10000406464345 is 54346460400001.

It is not a de Polignac number, because 10000406464345 - 2¹ = 10000406464343 is a prime.

It is a super-2 number, since 2×10000406464345² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000406464343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62567991 + ... + 62727619.

It is an arithmetic number, because the mean of its divisors is an integer number (433181865060).

Almost surely, 2^{10000406464345} is an apocalyptic number.

It is an amenable number.

10000406464345 is a deficient number, since it is larger than the sum of its proper divisors (3861413217575).

10000406464345 is a wasteful number, since it uses less digits than its factorization.

10000406464345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226665.

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 10000406464345 its reverse (54346460400001), we get a palindrome (64346866864346).

The spelling of 10000406464345 in words is "ten trillion, four hundred six million, four hundred sixty-four thousand, three hundred forty-five".