6153894729216 has 640 divisors, whose sum is σ = 20616878768640. Its totient is φ = 1799401734144.

The previous prime is 6153894729209. The next prime is 6153894729289. The reversal of 6153894729216 is 6129274983516.

6153894729216 is a `hidden beast` number, since 6 + 1 + 538 + 9 + 4 + 7 + 2 + 92 + 1 + 6 = 666.

It is a super-4 number, since 4×6153894729216⁴ (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285911031 + ... + 285932553.

It is an arithmetic number, because the mean of its divisors is an integer number (32213873076).

Almost surely, 2^{6153894729216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6153894729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10308439384320).

6153894729216 is an abundant number, since it is smaller than the sum of its proper divisors (14462984039424).

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

6153894729216 is a wasteful number, since it uses less digits than its factorization.

6153894729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21643 (or 21621 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 6153894729216 in words is "six trillion, one hundred fifty-three billion, eight hundred ninety-four million, seven hundred twenty-nine thousand, two hundred sixteen".