8618917401600 has 2112 divisors, whose sum is σ = 34387399065600. Its totient is φ = 1881538560000.

The previous prime is 8618917401533. The next prime is 8618917401659. The reversal of 8618917401600 is 61047198168.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24696038226 + ... + 24696038574.

Almost surely, 2^{8618917401600} is an apocalyptic number.

8618917401600 is a gapful number since it is divisible by the number (80) 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 8618917401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193699532800).

8618917401600 is an abundant number, since it is smaller than the sum of its proper divisors (25768481664000).

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

8618917401600 is a wasteful number, since it uses less digits than its factorization.

8618917401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 8618917401600 in words is "eight trillion, six hundred eighteen billion, nine hundred seventeen million, four hundred one thousand, six hundred".