18211146240 has 320 divisors, whose sum is σ = 68835951360. Its totient is φ = 4018667520.

The previous prime is 18211146229. The next prime is 18211146257. The reversal of 18211146240 is 4264111281.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×18211146240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18211146198 and 18211146207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1553200 + ... + 1564880.

It is an arithmetic number, because the mean of its divisors is an integer number (215112348).

Almost surely, 2^18211146240 is an apocalyptic number.

18211146240 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 18211146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34417975680).

18211146240 is an abundant number, since it is smaller than the sum of its proper divisors (50624805120).

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

18211146240 is a wasteful number, since it uses less digits than its factorization.

18211146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11743 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

It can be divided in two parts, 18211 and 146240, that added together give a triangular number (164451 = T₅₇₃).

The spelling of 18211146240 in words is "eighteen billion, two hundred eleven million, one hundred forty-six thousand, two hundred forty".