61084958445 has 72 divisors (see below), whose sum is σ = 123250162464. Its totient is φ = 27905750208.

The previous prime is 61084958419. The next prime is 61084958471. The reversal of 61084958445 is 54485948016.

61084958445 is a `hidden beast` number, since 6 + 10 + 8 + 4 + 9 + 584 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (61084958419) and next prime (61084958471).

It is not a de Polignac number, because 61084958445 - 2¹⁵ = 61084925677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61084958391 and 61084958400.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3579022 + ... + 3596048.

It is an arithmetic number, because the mean of its divisors is an integer number (1711807812).

Almost surely, 2^61084958445 is an apocalyptic number.

It is an amenable number.

61084958445 is an abundant number, since it is smaller than the sum of its proper divisors (62165204019).

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

61084958445 is a wasteful number, since it uses less digits than its factorization.

61084958445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18679 (or 18669 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 61084958445 in words is "sixty-one billion, eighty-four million, nine hundred fifty-eight thousand, four hundred forty-five".