61106466000 has 320 divisors, whose sum is σ = 209238322176. Its totient is φ = 15289344000.

The previous prime is 61106465939. The next prime is 61106466023. The reversal of 61106466000 is 66460116.

61106466000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42941289 + ... + 42942711.

Almost surely, 2^61106466000 is an apocalyptic number.

61106466000 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 61106466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104619161088).

61106466000 is an abundant number, since it is smaller than the sum of its proper divisors (148131856176).

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

61106466000 is a wasteful number, since it uses less digits than its factorization.

61106466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 61106466000 in words is "sixty-one billion, one hundred six million, four hundred sixty-six thousand".