61828314408 has 96 divisors (see below), whose sum is σ = 191411837760. Its totient is φ = 17661680640.

The previous prime is 61828314311. The next prime is 61828314461. The reversal of 61828314408 is 80441382816.

61828314408 is a `hidden beast` number, since 618 + 28 + 3 + 1 + 4 + 4 + 0 + 8 = 666.

It is a Cunningham number, because it is equal to 248653²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3472248 + ... + 3490008.

It is an arithmetic number, because the mean of its divisors is an integer number (1993873310).

Almost surely, 2^61828314408 is an apocalyptic number.

It is an amenable number.

61828314408 is an abundant number, since it is smaller than the sum of its proper divisors (129583523352).

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

61828314408 is a wasteful number, since it uses less digits than its factorization.

61828314408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24687 (or 24680 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 61828314408 in words is "sixty-one billion, eight hundred twenty-eight million, three hundred fourteen thousand, four hundred eight".