61363221408 has 384 divisors, whose sum is σ = 196372512000. Its totient is φ = 18567843840.

The previous prime is 61363221397. The next prime is 61363221433. The reversal of 61363221408 is 80412236316.

61363221408 is a `hidden beast` number, since 6 + 1 + 3 + 632 + 2 + 14 + 0 + 8 = 666.

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

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, 74741638 + ... + 74742458.

It is an arithmetic number, because the mean of its divisors is an integer number (511386750).

Almost surely, 2^61363221408 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 61363221408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98186256000).

61363221408 is an abundant number, since it is smaller than the sum of its proper divisors (135009290592).

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

61363221408 is a wasteful number, since it uses less digits than its factorization.

61363221408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 61363221408 in words is "sixty-one billion, three hundred sixty-three million, two hundred twenty-one thousand, four hundred eight".