61861473432 has 192 divisors, whose sum is σ = 185477160960. Its totient is φ = 18470592000.

The previous prime is 61861473413. The next prime is 61861473449. The reversal of 61861473432 is 23437416816.

61861473432 is a `hidden beast` number, since 61 + 86 + 1 + 473 + 43 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15186148 + ... + 15190220.

It is an arithmetic number, because the mean of its divisors is an integer number (966026880).

Almost surely, 2^61861473432 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 61861473432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92738580480).

61861473432 is an abundant number, since it is smaller than the sum of its proper divisors (123615687528).

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

61861473432 is a wasteful number, since it uses less digits than its factorization.

61861473432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4367 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 61861473432 in words is "sixty-one billion, eight hundred sixty-one million, four hundred seventy-three thousand, four hundred thirty-two".