61413870000336 has 240 divisors, whose sum is σ = 193842662227968. Its totient is φ = 16395246604800.

The previous prime is 61413870000323. The next prime is 61413870000377. The reversal of 61413870000336 is 63300007831416.

It is a happy number.

It is a super-2 number, since 2×61413870000336² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 5254441 + ... + 12265271.

Almost surely, 2^{61413870000336} 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 61413870000336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96921331113984).

61413870000336 is an abundant number, since it is smaller than the sum of its proper divisors (132428792227632).

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

61413870000336 is a wasteful number, since it uses less digits than its factorization.

61413870000336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010938 (or 7010903 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 61413870000336 in words is "sixty-one trillion, four hundred thirteen billion, eight hundred seventy million, three hundred thirty-six", and thus it is an aban number.