61809011633952 has 288 divisors, whose sum is σ = 195064528748544. Its totient is φ = 18408841920000.

The previous prime is 61809011633947. The next prime is 61809011634001. The reversal of 61809011633952 is 25933611090816.

61809011633952 is a `hidden beast` number, since 6 + 1 + 8 + 0 + 90 + 1 + 163 + 395 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42332077 + ... + 43767827.

It is an arithmetic number, because the mean of its divisors is an integer number (677307391488).

Almost surely, 2^{61809011633952} 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 61809011633952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97532264374272).

61809011633952 is an abundant number, since it is smaller than the sum of its proper divisors (133255517114592).

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

61809011633952 is a wasteful number, since it uses less digits than its factorization.

61809011633952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436012 (or 1436001 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 61809011633952 in words is "sixty-one trillion, eight hundred nine billion, eleven million, six hundred thirty-three thousand, nine hundred fifty-two".