4123587118464 has 480 divisors, whose sum is σ = 13802632009320. Its totient is φ = 1220496076800.

The previous prime is 4123587118433. The next prime is 4123587118481. The reversal of 4123587118464 is 4648117853214.

It is a happy number.

4123587118464 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 587 + 1 + 18 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4123587118464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53906484 + ... + 53982924.

Almost surely, 2^{4123587118464} is an apocalyptic number.

4123587118464 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 4123587118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901316004660).

4123587118464 is an abundant number, since it is smaller than the sum of its proper divisors (9679044890856).

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

4123587118464 is a wasteful number, since it uses less digits than its factorization.

4123587118464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76532 (or 76500 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 4123587118464 in words is "four trillion, one hundred twenty-three billion, five hundred eighty-seven million, one hundred eighteen thousand, four hundred sixty-four".