18106951680 has 384 divisors, whose sum is σ = 65257920000. Its totient is φ = 4761649152.

The previous prime is 18106951673. The next prime is 18106951697. The reversal of 18106951680 is 8615960181.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 21841506 + ... + 21842334.

It is an arithmetic number, because the mean of its divisors is an integer number (169942500).

Almost surely, 2^18106951680 is an apocalyptic number.

18106951680 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 18106951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32628960000).

18106951680 is an abundant number, since it is smaller than the sum of its proper divisors (47150968320).

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

18106951680 is an equidigital number, since it uses as much as digits as its factorization.

18106951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 18106951680 in words is "eighteen billion, one hundred six million, nine hundred fifty-one thousand, six hundred eighty".