2985103908864 has 1344 divisors, whose sum is σ = 11410368929280. Its totient is φ = 764730408960.

The previous prime is 2985103908859. The next prime is 2985103908869. The reversal of 2985103908864 is 4688093015892.

2985103908864 is a `hidden beast` number, since 2 + 9 + 8 + 510 + 39 + 0 + 8 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2985103908859) and next prime (2985103908869).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985103908869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40891834332 + ... + 40891834404.

Almost surely, 2^{2985103908864} is an apocalyptic number.

2985103908864 is a gapful number since it is divisible by the number (24) 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 2985103908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705184464640).

2985103908864 is an abundant number, since it is smaller than the sum of its proper divisors (8425265020416).

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

2985103908864 is an frugal number, since it uses more digits than its factorization.

2985103908864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 2985103908864 in words is "two trillion, nine hundred eighty-five billion, one hundred three million, nine hundred eight thousand, eight hundred sixty-four".