6011202379248 has 480 divisors, whose sum is σ = 19705633758720. Its totient is φ = 1691179776000.

The previous prime is 6011202379211. The next prime is 6011202379279. The reversal of 6011202379248 is 8429732021106.

6011202379248 is a `hidden beast` number, since 6 + 0 + 11 + 20 + 2 + 379 + 248 = 666.

It is a super-2 number, since 2×6011202379248² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1883797333 + ... + 1883800523.

It is an arithmetic number, because the mean of its divisors is an integer number (41053403664).

Almost surely, 2^{6011202379248} 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 6011202379248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9852816879360).

6011202379248 is an abundant number, since it is smaller than the sum of its proper divisors (13694431379472).

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

6011202379248 is a wasteful number, since it uses less digits than its factorization.

6011202379248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6011202379248 in words is "six trillion, eleven billion, two hundred two million, three hundred seventy-nine thousand, two hundred forty-eight".