6161159946240 has 1288 divisors, whose sum is σ = 24645593148288. Its totient is φ = 1467670855680.

The previous prime is 6161159946199. The next prime is 6161159946259. The reversal of 6161159946240 is 426499511616.

6161159946240 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 1 + 5 + 9 + 9 + 4 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 198747095025 + ... + 198747095055.

Almost surely, 2^{6161159946240} is an apocalyptic number.

6161159946240 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 6161159946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322796574144).

6161159946240 is an abundant number, since it is smaller than the sum of its proper divisors (18484433202048).

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

6161159946240 is an frugal number, since it uses more digits than its factorization.

6161159946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 6161159946240 in words is "six trillion, one hundred sixty-one billion, one hundred fifty-nine million, nine hundred forty-six thousand, two hundred forty".