61887956477301 has 48 divisors (see below), whose sum is σ = 91149022036800. Its totient is φ = 40456125997056.

The previous prime is 61887956477299. The next prime is 61887956477371. The reversal of 61887956477301 is 10377465978816.

61887956477301 is a `hidden beast` number, since 6 + 1 + 8 + 8 + 79 + 56 + 477 + 30 + 1 = 666.

61887956477301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61887956477301 - 2¹ = 61887956477299 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61887956477301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61887956477371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351802101 + ... + 351977973.

It is an arithmetic number, because the mean of its divisors is an integer number (1898937959100).

Almost surely, 2^{61887956477301} is an apocalyptic number.

It is an amenable number.

61887956477301 is a deficient number, since it is larger than the sum of its proper divisors (29261065559499).

61887956477301 is a wasteful number, since it uses less digits than its factorization.

61887956477301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179490 (or 179487 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 61887956477301 in words is "sixty-one trillion, eight hundred eighty-seven billion, nine hundred fifty-six million, four hundred seventy-seven thousand, three hundred one".