18861290947584 has 352 divisors, whose sum is σ = 57458171191680. Its totient is φ = 6109478092800.

The previous prime is 18861290947547. The next prime is 18861290947589. The reversal of 18861290947584 is 48574909216881.

18861290947584 is a `hidden beast` number, since 1 + 8 + 8 + 61 + 2 + 90 + 9 + 475 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (18861290947589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139914454 + ... + 140049194.

Almost surely, 2^{18861290947584} 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 18861290947584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28729085595840).

18861290947584 is an abundant number, since it is smaller than the sum of its proper divisors (38596880244096).

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

18861290947584 is a wasteful number, since it uses less digits than its factorization.

18861290947584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134914 (or 134890 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 18861290947584 in words is "eighteen trillion, eight hundred sixty-one billion, two hundred ninety million, nine hundred forty-seven thousand, five hundred eighty-four".