61183268172 has 216 divisors, whose sum is σ = 178072942320. Its totient is φ = 17586374400.

The previous prime is 61183268149. The next prime is 61183268221. The reversal of 61183268172 is 27186238116.

61183268172 is a `hidden beast` number, since 611 + 8 + 3 + 26 + 8 + 1 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13040347 + ... + 13045037.

It is an arithmetic number, because the mean of its divisors is an integer number (824411770).

Almost surely, 2^61183268172 is an apocalyptic number.

61183268172 is a gapful number since it is divisible by the number (62) 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 61183268172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89036471160).

61183268172 is an abundant number, since it is smaller than the sum of its proper divisors (116889674148).

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

61183268172 is a wasteful number, since it uses less digits than its factorization.

61183268172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4769 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 61183268172 in words is "sixty-one billion, one hundred eighty-three million, two hundred sixty-eight thousand, one hundred seventy-two".