61842748086672 has 160 divisors (see below), whose sum is σ = 187776552960000. Its totient is φ = 17530227211392.

The previous prime is 61842748086649. The next prime is 61842748086767. The reversal of 61842748086672 is 27668084724816.

It is a junction number, because it is equal to n+sod(n) for n = 61842748086597 and 61842748086606.

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 31 ways as a sum of consecutive naturals, for example, 12697422 + ... + 16879277.

It is an arithmetic number, because the mean of its divisors is an integer number (1173603456000).

Almost surely, 2^{61842748086672} is an apocalyptic number.

It is an amenable number.

61842748086672 is an abundant number, since it is smaller than the sum of its proper divisors (125933804873328).

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

61842748086672 is a wasteful number, since it uses less digits than its factorization.

61842748086672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29576858 (or 29576838 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 69.

The spelling of 61842748086672 in words is "sixty-one trillion, eight hundred forty-two billion, seven hundred forty-eight million, eighty-six thousand, six hundred seventy-two".