61189443000 has 1536 divisors, whose sum is σ = 274743705600. Its totient is φ = 11943936000.

The previous prime is 61189442957. The next prime is 61189443013. The reversal of 61189443000 is 34498116.

61189443000 is a `hidden beast` number, since 611 + 8 + 9 + 4 + 4 + 30 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 630818952 + ... + 630819048.

It is an arithmetic number, because the mean of its divisors is an integer number (178869600).

Almost surely, 2^61189443000 is an apocalyptic number.

61189443000 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 61189443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137371852800).

61189443000 is an abundant number, since it is smaller than the sum of its proper divisors (213554262600).

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

61189443000 is a wasteful number, since it uses less digits than its factorization.

61189443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 61189443000 in words is "sixty-one billion, one hundred eighty-nine million, four hundred forty-three thousand".