612361131311160 has 1152 divisors, whose sum is σ = 2559020143680000. Its totient is φ = 124244563322880.

The previous prime is 612361131311159. The next prime is 612361131311179. The reversal of 612361131311160 is 61113131163216.

612361131311160 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 611 + 3 + 1 + 31 + 1 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57022169071 + ... + 57022179809.

It is an arithmetic number, because the mean of its divisors is an integer number (2221371652500).

Almost surely, 2^{612361131311160} is an apocalyptic number.

612361131311160 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 612361131311160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279510071840000).

612361131311160 is an abundant number, since it is smaller than the sum of its proper divisors (1946659012368840).

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

612361131311160 is a wasteful number, since it uses less digits than its factorization.

612361131311160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15177 (or 15159 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 612361131311160 its reverse (61113131163216), we get a palindrome (673474262474376).

The spelling of 612361131311160 in words is "six hundred twelve trillion, three hundred sixty-one billion, one hundred thirty-one million, three hundred eleven thousand, one hundred sixty".