6149154346560 has 336 divisors, whose sum is σ = 22293470751552. Its totient is φ = 1612891699200.

The previous prime is 6149154346549. The next prime is 6149154346597. The reversal of 6149154346560 is 656434519416.

6149154346560 is a `hidden beast` number, since 6 + 1 + 4 + 9 + 1 + 543 + 46 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6149154346497 and 6149154346506.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4095175 + ... + 5391545.

It is an arithmetic number, because the mean of its divisors is an integer number (66349615332).

Almost surely, 2^{6149154346560} is an apocalyptic number.

6149154346560 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 6149154346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11146735375776).

6149154346560 is an abundant number, since it is smaller than the sum of its proper divisors (16144316404992).

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

6149154346560 is a wasteful number, since it uses less digits than its factorization.

6149154346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296464 (or 1296442 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 6149154346560 in words is "six trillion, one hundred forty-nine billion, one hundred fifty-four million, three hundred forty-six thousand, five hundred sixty".