61105014000 has 480 divisors, whose sum is σ = 218629756800. Its totient is φ = 15902208000.

The previous prime is 61105013987. The next prime is 61105014037. The reversal of 61105014000 is 41050116.

61105014000 is a `hidden beast` number, since 611 + 0 + 50 + 1 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175085826 + ... + 175086174.

It is an arithmetic number, because the mean of its divisors is an integer number (455478660).

Almost surely, 2^61105014000 is an apocalyptic number.

61105014000 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 61105014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109314878400).

61105014000 is an abundant number, since it is smaller than the sum of its proper divisors (157524742800).

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

61105014000 is a wasteful number, since it uses less digits than its factorization.

61105014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 61105014000 its reverse (41050116), we get a palindrome (61146064116).

The spelling of 61105014000 in words is "sixty-one billion, one hundred five million, fourteen thousand".