18817000151040 has 2880 divisors, whose sum is σ = 84680840724480. Its totient is φ = 3912833433600.

The previous prime is 18817000151039. The next prime is 18817000151071. The reversal of 18817000151040 is 4015100071881.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18817000150986 and 18817000151004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 124615894965 + ... + 124615895115.

It is an arithmetic number, because the mean of its divisors is an integer number (29403069696).

Almost surely, 2^{18817000151040} is an apocalyptic number.

18817000151040 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 18817000151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42340420362240).

18817000151040 is an abundant number, since it is smaller than the sum of its proper divisors (65863840573440).

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

18817000151040 is a wasteful number, since it uses less digits than its factorization.

18817000151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 18817000151040 in words is "eighteen trillion, eight hundred seventeen billion, one hundred fifty-one thousand, forty".