6131121408 has 432 divisors, whose sum is σ = 19629267840. Its totient is φ = 1834500096.

The previous prime is 6131121361. The next prime is 6131121413. The reversal of 6131121408 is 8041211316.

It is a happy number.

6131121408 is a `hidden beast` number, since 6 + 131 + 121 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103917283 + ... + 103917341.

It is an arithmetic number, because the mean of its divisors is an integer number (45438120).

Almost surely, 2^6131121408 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 6131121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814633920).

6131121408 is an abundant number, since it is smaller than the sum of its proper divisors (13498146432).

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

6131121408 is a wasteful number, since it uses less digits than its factorization.

6131121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6131121408 is about 78301.4776872059. The cubic root of 6131121408 is about 1830.2621786868.

The spelling of 6131121408 in words is "six billion, one hundred thirty-one million, one hundred twenty-one thousand, four hundred eight".