18903322131840 has 512 divisors, whose sum is σ = 67184380800000. Its totient is φ = 5023216041984.

The previous prime is 18903322131833. The next prime is 18903322131853. The reversal of 18903322131840 is 4813122330981.

It is a happy number.

18903322131840 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 3 + 322 + 1 + 318 + 4 + 0 = 666.

It is a super-2 number, since 2×18903322131840² (a number of 27 digits) contains 22 as substring.

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

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, 11971704171 + ... + 11971705749.

It is an arithmetic number, because the mean of its divisors is an integer number (131219493750).

Almost surely, 2^{18903322131840} is an apocalyptic number.

18903322131840 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 18903322131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33592190400000).

18903322131840 is an abundant number, since it is smaller than the sum of its proper divisors (48281058668160).

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

18903322131840 is a wasteful number, since it uses less digits than its factorization.

18903322131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 18903322131840 in words is "eighteen trillion, nine hundred three billion, three hundred twenty-two million, one hundred thirty-one thousand, eight hundred forty".