1948214016 has 216 divisors, whose sum is σ = 6482505120. Its totient is φ = 551190528.

The previous prime is 1948213973. The next prime is 1948214017. The reversal of 1948214016 is 6104128491.

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

It is not an unprimeable number, because it can be changed into a prime (1948214017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1821930 + ... + 1822998.

Almost surely, 2^1948214016 is an apocalyptic number.

1948214016 is a gapful number since it is divisible by the number (16) 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 1948214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241252560).

1948214016 is an abundant number, since it is smaller than the sum of its proper divisors (4534291104).

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

1948214016 is a wasteful number, since it uses less digits than its factorization.

1948214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1948214016 is about 44138.5774125084. The cubic root of 1948214016 is about 1248.9514440837.

The spelling of 1948214016 in words is "one billion, nine hundred forty-eight million, two hundred fourteen thousand, sixteen".