4918132505088 has 1120 divisors, whose sum is σ = 17574783570432. Its totient is φ = 1356831129600.

The previous prime is 4918132505053. The next prime is 4918132505107. The reversal of 4918132505088 is 8805052318194.

4918132505088 is a `hidden beast` number, since 4 + 9 + 1 + 81 + 3 + 2 + 50 + 508 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2163717520 + ... + 2163719792.

Almost surely, 2^{4918132505088} is an apocalyptic number.

4918132505088 is a gapful number since it is divisible by the number (48) 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 4918132505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787391785216).

4918132505088 is an abundant number, since it is smaller than the sum of its proper divisors (12656651065344).

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

4918132505088 is a wasteful number, since it uses less digits than its factorization.

4918132505088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 4918132505088 in words is "four trillion, nine hundred eighteen billion, one hundred thirty-two million, five hundred five thousand, eighty-eight".