1918100448 has 144 divisors (see below), whose sum is σ = 6142735872. Its totient is φ = 562464000.

The previous prime is 1918100447. The next prime is 1918100489. The reversal of 1918100448 is 8440018191.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918100447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88443 + ... + 107973.

It is an arithmetic number, because the mean of its divisors is an integer number (42657888).

Almost surely, 2^1918100448 is an apocalyptic number.

1918100448 is a gapful number since it is divisible by the number (18) 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 1918100448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071367936).

1918100448 is an abundant number, since it is smaller than the sum of its proper divisors (4224635424).

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

1918100448 is a wasteful number, since it uses less digits than its factorization.

1918100448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19589 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1918100448 is about 43796.1236640870. The cubic root of 1918100448 is about 1242.4829817365.

The spelling of 1918100448 in words is "one billion, nine hundred eighteen million, one hundred thousand, four hundred forty-eight".