18896948308368 has 560 divisors, whose sum is σ = 59855281777200. Its totient is φ = 5742271180800.

The previous prime is 18896948308241. The next prime is 18896948308369. The reversal of 18896948308368 is 86380384969881.

18896948308368 is a `hidden beast` number, since 1 + 8 + 8 + 96 + 94 + 83 + 0 + 8 + 368 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10060645109904 + 8836303198464 = 3171852^2 + 2972592^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (18896948308369) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4089361098 + ... + 4089365718.

It is an arithmetic number, because the mean of its divisors is an integer number (106884431745).

Almost surely, 2^{18896948308368} is an apocalyptic number.

18896948308368 is a gapful number since it is divisible by the number (18) 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 18896948308368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29927640888600).

18896948308368 is an abundant number, since it is smaller than the sum of its proper divisors (40958333468832).

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

18896948308368 is a wasteful number, since it uses less digits than its factorization.

18896948308368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 3439853568, while the sum is 81.

The spelling of 18896948308368 in words is "eighteen trillion, eight hundred ninety-six billion, nine hundred forty-eight million, three hundred eight thousand, three hundred sixty-eight".