468400210857711 has 48 divisors (see below), whose sum is σ = 766617174338400. Its totient is φ = 282437905559040.

The previous prime is 468400210857707. The next prime is 468400210857811. The reversal of 468400210857711 is 117758012004864.

It is a happy number.

468400210857711 is a `hidden beast` number, since 4 + 6 + 8 + 40 + 0 + 2 + 10 + 8 + 577 + 11 = 666.

It is not a de Polignac number, because 468400210857711 - 2² = 468400210857707 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468400210857311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363247746 + ... + 364534943.

It is an arithmetic number, because the mean of its divisors is an integer number (15971191132050).

Almost surely, 2^{468400210857711} is an apocalyptic number.

468400210857711 is a deficient number, since it is larger than the sum of its proper divisors (298216963480689).

468400210857711 is a wasteful number, since it uses less digits than its factorization.

468400210857711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727782917 (or 727782900 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 468400210857711 in words is "four hundred sixty-eight trillion, four hundred billion, two hundred ten million, eight hundred fifty-seven thousand, seven hundred eleven".