18967936512 has 160 divisors (see below), whose sum is σ = 60790752000. Its totient is φ = 5134123008.

The previous prime is 18967936511. The next prime is 18967936543. The reversal of 18967936512 is 21563976981.

It is a super-2 number, since 2×18967936512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18967936511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157864 + ... + 250712.

It is an arithmetic number, because the mean of its divisors is an integer number (379942200).

Almost surely, 2^18967936512 is an apocalyptic number.

18967936512 is a gapful number since it is divisible by the number (12) 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 18967936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30395376000).

18967936512 is an abundant number, since it is smaller than the sum of its proper divisors (41822815488).

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

18967936512 is an equidigital number, since it uses as much as digits as its factorization.

18967936512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92896 (or 92880 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The spelling of 18967936512 in words is "eighteen billion, nine hundred sixty-seven million, nine hundred thirty-six thousand, five hundred twelve".