61166842464 has 192 divisors, whose sum is σ = 197784308736. Its totient is φ = 16118175744.

The previous prime is 61166842409. The next prime is 61166842489. The reversal of 61166842464 is 46424866116.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14036574 + ... + 14040930.

It is an arithmetic number, because the mean of its divisors is an integer number (1030126608).

Almost surely, 2^61166842464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61166842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98892154368).

61166842464 is an abundant number, since it is smaller than the sum of its proper divisors (136617466272).

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

61166842464 is a wasteful number, since it uses less digits than its factorization.

61166842464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5989 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 61166842464 in words is "sixty-one billion, one hundred sixty-six million, eight hundred forty-two thousand, four hundred sixty-four".