61413156000 has 288 divisors, whose sum is σ = 249092782848. Its totient is φ = 14037235200.

The previous prime is 61413155981. The next prime is 61413156001. The reversal of 61413156000 is 65131416.

61413156000 is a `hidden beast` number, since 6 + 1 + 41 + 3 + 15 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (61413156001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130149 + ... + 373851.

It is an arithmetic number, because the mean of its divisors is an integer number (864905496).

Almost surely, 2^61413156000 is an apocalyptic number.

61413156000 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 61413156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124546391424).

61413156000 is an abundant number, since it is smaller than the sum of its proper divisors (187679626848).

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

61413156000 is a wasteful number, since it uses less digits than its factorization.

61413156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243741 (or 243720 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 61413156000 its reverse (65131416), we get a palindrome (61478287416).

The spelling of 61413156000 in words is "sixty-one billion, four hundred thirteen million, one hundred fifty-six thousand".