4662142412664 has 192 divisors, whose sum is σ = 13499838777600. Its totient is φ = 1336994588160.

The previous prime is 4662142412657. The next prime is 4662142412701.

4662142412664 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52538397 + ... + 52627059.

It is an arithmetic number, because the mean of its divisors is an integer number (70311660300).

Almost surely, 2^{4662142412664} is an apocalyptic number.

4662142412664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4662142412664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749919388800).

4662142412664 is an abundant number, since it is smaller than the sum of its proper divisors (8837696364936).

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

4662142412664 is a wasteful number, since it uses less digits than its factorization.

4662142412664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89666 (or 89651 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 4662142412664 in words is "four trillion, six hundred sixty-two billion, one hundred forty-two million, four hundred twelve thousand, six hundred sixty-four".