18240159038976 has 640 divisors, whose sum is σ = 64203754982400. Its totient is φ = 5002549493760.

The previous prime is 18240159038957. The next prime is 18240159039007. The reversal of 18240159038976 is 67983095104281.

18240159038976 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 0 + 1 + 590 + 38 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485466271 + ... + 485503841.

It is an arithmetic number, because the mean of its divisors is an integer number (100318367160).

It is a 2-persistent number, because it is pandigital, and so is 2⋅18240159038976 = 36480318077952, but 3⋅18240159038976 = 54720477116928 is not.

Almost surely, 2^{18240159038976} is an apocalyptic number.

18240159038976 is a gapful number since it is divisible by the number (16) 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 18240159038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32101877491200).

18240159038976 is an abundant number, since it is smaller than the sum of its proper divisors (45963595943424).

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

18240159038976 is a wasteful number, since it uses less digits than its factorization.

18240159038976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37807 (or 37785 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 18240159038976 in words is "eighteen trillion, two hundred forty billion, one hundred fifty-nine million, thirty-eight thousand, nine hundred seventy-six".