470706607123753 has 128 divisors (see below), whose sum is σ = 638186895360000. Its totient is φ = 335269693900800.

The previous prime is 470706607123723. The next prime is 470706607123759. The reversal of 470706607123753 is 357321706607074.

It is a cyclic number.

It is not a de Polignac number, because 470706607123753 - 2¹³ = 470706607115561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (470706607123759) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173500406725 + ... + 173500409437.

It is an arithmetic number, because the mean of its divisors is an integer number (4985835120000).

Almost surely, 2^{470706607123753} is an apocalyptic number.

It is an amenable number.

470706607123753 is a deficient number, since it is larger than the sum of its proper divisors (167480288236247).

470706607123753 is a wasteful number, since it uses less digits than its factorization.

470706607123753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023.

The product of its (nonzero) digits is 31116960, while the sum is 58.

The spelling of 470706607123753 in words is "four hundred seventy trillion, seven hundred six billion, six hundred seven million, one hundred twenty-three thousand, seven hundred fifty-three".