18126846240 has 48 divisors (see below), whose sum is σ = 57099567168. Its totient is φ = 4833825536.

The previous prime is 18126846223. The next prime is 18126846253. The reversal of 18126846240 is 4264862181.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×18126846240³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18126846192 and 18126846201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18881652 + ... + 18882611.

It is an arithmetic number, because the mean of its divisors is an integer number (1189574316).

Almost surely, 2^18126846240 is an apocalyptic number.

18126846240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18126846240 is an abundant number, since it is smaller than the sum of its proper divisors (38972720928).

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

18126846240 is a wasteful number, since it uses less digits than its factorization.

18126846240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37764281 (or 37764273 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 18126846240 in words is "eighteen billion, one hundred twenty-six million, eight hundred forty-six thousand, two hundred forty".