16863114240 has 528 divisors, whose sum is σ = 69711452928. Its totient is φ = 3685220352.

The previous prime is 16863114239. The next prime is 16863114241. The reversal of 16863114240 is 4241136861.

16863114240 is a `hidden beast` number, since 1 + 6 + 8 + 631 + 14 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16863114239) and next prime (16863114241).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16863114195 and 16863114204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16863114241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7417744 + ... + 7420016.

Almost surely, 2^16863114240 is an apocalyptic number.

16863114240 is a gapful number since it is divisible by the number (10) 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 16863114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34855726464).

16863114240 is an abundant number, since it is smaller than the sum of its proper divisors (52848338688).

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

16863114240 is a wasteful number, since it uses less digits than its factorization.

16863114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16863114240 in words is "sixteen billion, eight hundred sixty-three million, one hundred fourteen thousand, two hundred forty".