6149105280000 has 1320 divisors, whose sum is σ = 24231538050720. Its totient is φ = 1552711680000.

The previous prime is 6149105279939. The next prime is 6149105280007. The reversal of 6149105280000 is 825019416.

6149105280000 is a `hidden beast` number, since 614 + 9 + 10 + 5 + 28 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×6149105280000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6149105280007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2954878960 + ... + 2954881040.

It is an arithmetic number, because the mean of its divisors is an integer number (18357225796).

Almost surely, 2^{6149105280000} is an apocalyptic number.

6149105280000 is a gapful number since it is divisible by the number (60) 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 6149105280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12115769025360).

6149105280000 is an abundant number, since it is smaller than the sum of its proper divisors (18082432770720).

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

6149105280000 is an equidigital number, since it uses as much as digits as its factorization.

6149105280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 6149105280000 in words is "six trillion, one hundred forty-nine billion, one hundred five million, two hundred eighty thousand".