1418131678464 has 216 divisors, whose sum is σ = 4123842602880. Its totient is φ = 468671422464.

The previous prime is 1418131678459. The next prime is 1418131678499. The reversal of 1418131678464 is 4648761318141.

It is a happy number.

1418131678464 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 13 + 167 + 8 + 464 = 666.

It is a super-2 number, since 2×1418131678464² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1418131678464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274456809 + ... + 274461975.

Almost surely, 2^{1418131678464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418131678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061921301440).

1418131678464 is an abundant number, since it is smaller than the sum of its proper divisors (2705710924416).

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

1418131678464 is a wasteful number, since it uses less digits than its factorization.

1418131678464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6185 (or 6168 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 1418131678464 in words is "one trillion, four hundred eighteen billion, one hundred thirty-one million, six hundred seventy-eight thousand, four hundred sixty-four".