6049061712000 has 192 divisors, whose sum is σ = 21723693390360. Its totient is φ = 1613083084800.

The previous prime is 6049061711989. The next prime is 6049061712041. The reversal of 6049061712000 is 2171609406.

It can be written as a sum of positive squares in 4 ways, for example, as 3135704307264 + 2913357404736 = 1770792^2 + 1706856^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6049061712000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20859687 + ... + 21147686.

Almost surely, 2^{6049061712000} is an apocalyptic number.

6049061712000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6049061712000 is an abundant number, since it is smaller than the sum of its proper divisors (15674631678360).

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

6049061712000 is a wasteful number, since it uses less digits than its factorization.

6049061712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42007408 (or 42007383 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 6049061712000 in words is "six trillion, forty-nine billion, sixty-one million, seven hundred twelve thousand".