468237666732864 has 112 divisors (see below), whose sum is σ = 1477420712521728. Its totient is φ = 127965573508608.

The previous prime is 468237666732853. The next prime is 468237666732907.

It is a happy number.

468237666732864 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×468237666732864² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 468237666732864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7573689112 + ... + 7573750935.

Almost surely, 2^{468237666732864} is an apocalyptic number.

It is an amenable number.

468237666732864 is an abundant number, since it is smaller than the sum of its proper divisors (1009183045788864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468237666732864 is a wasteful number, since it uses less digits than its factorization.

468237666732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15147440092 (or 15147440082 counting only the distinct ones).

The product of its digits is 14046068736, while the sum is 78.

The spelling of 468237666732864 in words is "four hundred sixty-eight trillion, two hundred thirty-seven billion, six hundred sixty-six million, seven hundred thirty-two thousand, eight hundred sixty-four".