61106015466000 has 640 divisors, whose sum is σ = 231854924620800. Its totient is φ = 15330893414400.

The previous prime is 61106015465987. The next prime is 61106015466007. The reversal of 61106015466000 is 66451060116.

It is a happy number.

61106015466000 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 6 + 0 + 1 + 5 + 46 + 600 + 0 = 666.

It is a super-2 number, since 2×61106015466000² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61106015466007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2945851629 + ... + 2945872371.

It is an arithmetic number, because the mean of its divisors is an integer number (362273319720).

Almost surely, 2^{61106015466000} is an apocalyptic number.

61106015466000 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 61106015466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115927462310400).

61106015466000 is an abundant number, since it is smaller than the sum of its proper divisors (170748909154800).

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

61106015466000 is a wasteful number, since it uses less digits than its factorization.

61106015466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24001 (or 23979 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 61106015466000 in words is "sixty-one trillion, one hundred six billion, fifteen million, four hundred sixty-six thousand".