61621412616 has 24 divisors (see below), whose sum is σ = 166891326030. Its totient is φ = 20540470848.

The previous prime is 61621412597. The next prime is 61621412663.

61621412616 is a `hidden beast` number, since 6 + 1 + 6 + 21 + 4 + 12 + 616 = 666.

61621412616 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 50514360516 + 11107052100 = 224754^2 + 105390^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427926405 + ... + 427926548.

Almost surely, 2^61621412616 is an apocalyptic number.

It is an amenable number.

61621412616 is an abundant number, since it is smaller than the sum of its proper divisors (105269913414).

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

61621412616 is a wasteful number, since it uses less digits than its factorization.

61621412616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855852965 (or 855852958 counting only the distinct ones).

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

The spelling of 61621412616 in words is "sixty-one billion, six hundred twenty-one million, four hundred twelve thousand, six hundred sixteen".