18892193040 has 480 divisors, whose sum is σ = 74536300800. Its totient is φ = 4286435328.

The previous prime is 18892193039. The next prime is 18892193053. The reversal of 18892193040 is 4039129881.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56059752 + ... + 56060088.

It is an arithmetic number, because the mean of its divisors is an integer number (155283960).

Almost surely, 2^18892193040 is an apocalyptic number.

18892193040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18892193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37268150400).

18892193040 is an abundant number, since it is smaller than the sum of its proper divisors (55644107760).

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

18892193040 is a wasteful number, since it uses less digits than its factorization.

18892193040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 188921 and 93040, that added together give a square (281961 = 531²).

The spelling of 18892193040 in words is "eighteen billion, eight hundred ninety-two million, one hundred ninety-three thousand, forty".