61646312124 has 36 divisors (see below), whose sum is σ = 155840158656. Its totient is φ = 20547190848.

The previous prime is 61646312111. The next prime is 61646312153. The reversal of 61646312124 is 42121364616.

61646312124 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 631 + 2 + 12 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468277 + ... + 585299.

It is an arithmetic number, because the mean of its divisors is an integer number (4328893296).

Almost surely, 2^61646312124 is an apocalyptic number.

It is an amenable number.

61646312124 is an abundant number, since it is smaller than the sum of its proper divisors (94193846532).

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

61646312124 is a wasteful number, since it uses less digits than its factorization.

61646312124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131666 (or 131661 counting only the distinct ones).

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

The spelling of 61646312124 in words is "sixty-one billion, six hundred forty-six million, three hundred twelve thousand, one hundred twenty-four".