6161313600 has 1008 divisors, whose sum is σ = 26001585792. Its totient is φ = 1423319040.

The previous prime is 6161313589. The next prime is 6161313629. The reversal of 6161313600 is 63131616.

It is a happy number.

6161313600 is a `hidden beast` number, since 616 + 13 + 1 + 36 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116251174 + ... + 116251226.

It is an arithmetic number, because the mean of its divisors is an integer number (25795224).

Almost surely, 2^6161313600 is an apocalyptic number.

6161313600 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 6161313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000792896).

6161313600 is an abundant number, since it is smaller than the sum of its proper divisors (19840272192).

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

6161313600 is a wasteful number, since it uses less digits than its factorization.

6161313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6161313600 is about 78494.0354421914. The cubic root of 6161313600 is about 1833.2615847036.

The spelling of 6161313600 in words is "six billion, one hundred sixty-one million, three hundred thirteen thousand, six hundred".