12849762240 has 896 divisors, whose sum is σ = 54546032640. Its totient is φ = 2821754880.

The previous prime is 12849762223. The next prime is 12849762251. The reversal of 12849762240 is 4226794821.

12849762240 is a `hidden beast` number, since 12 + 8 + 4 + 9 + 7 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 210651810 + ... + 210651870.

Almost surely, 2^12849762240 is an apocalyptic number.

12849762240 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 12849762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27273016320).

12849762240 is an abundant number, since it is smaller than the sum of its proper divisors (41696270400).

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

12849762240 is an frugal number, since it uses more digits than its factorization.

12849762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12849762240 in words is "twelve billion, eight hundred forty-nine million, seven hundred sixty-two thousand, two hundred forty".