10406912334951 has 16 divisors (see below), whose sum is σ = 15137381127168. Its totient is φ = 6307197057600.

The previous prime is 10406912334893. The next prime is 10406912335013. The reversal of 10406912334951 is 15943321960401.

It is a happy number.

It is not a de Polignac number, because 10406912334951 - 2¹⁹ = 10406911810663 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10406912334951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406912344951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16758730 + ... + 17368616.

It is an arithmetic number, because the mean of its divisors is an integer number (946086320448).

Almost surely, 2^{10406912334951} is an apocalyptic number.

10406912334951 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10406912334951 is a deficient number, since it is larger than the sum of its proper divisors (4730468792217).

10406912334951 is a wasteful number, since it uses less digits than its factorization.

10406912334951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126982.

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 10406912334951 in words is "ten trillion, four hundred six billion, nine hundred twelve million, three hundred thirty-four thousand, nine hundred fifty-one".