18374281991520 has 1152 divisors, whose sum is σ = 74528886620160. Its totient is φ = 3721720504320.

The previous prime is 18374281991509. The next prime is 18374281991561. The reversal of 18374281991520 is 2519918247381.

It is a super-2 number, since 2×18374281991520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2235581971 + ... + 2235590189.

It is an arithmetic number, because the mean of its divisors is an integer number (64695214080).

Almost surely, 2^{18374281991520} is an apocalyptic number.

18374281991520 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 18374281991520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37264443310080).

18374281991520 is an abundant number, since it is smaller than the sum of its proper divisors (56154604628640).

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

18374281991520 is a wasteful number, since it uses less digits than its factorization.

18374281991520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428 (or 8407 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 18374281991520 in words is "eighteen trillion, three hundred seventy-four billion, two hundred eighty-one million, nine hundred ninety-one thousand, five hundred twenty".