46466422466464 has 192 divisors, whose sum is σ = 123842438721792. Its totient is φ = 16711199493120.

The previous prime is 46466422466449. The next prime is 46466422466473.

It is a happy number.

46466422466464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46466422466464² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46466422466396 and 46466422466405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2118447 + ... + 9870190.

It is an arithmetic number, because the mean of its divisors is an integer number (645012701676).

Almost surely, 2^{46466422466464} is an apocalyptic number.

46466422466464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46466422466464 is an abundant number, since it is smaller than the sum of its proper divisors (77376016255328).

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

46466422466464 is a wasteful number, since it uses less digits than its factorization.

46466422466464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988700 (or 11988670 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 64.

The spelling of 46466422466464 in words is "forty-six trillion, four hundred sixty-six billion, four hundred twenty-two million, four hundred sixty-six thousand, four hundred sixty-four".