1921468416 has 192 divisors, whose sum is σ = 5996390400. Its totient is φ = 535707648.

The previous prime is 1921468397. The next prime is 1921468427. The reversal of 1921468416 is 6148641291.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1848825 + ... + 1849863.

It is an arithmetic number, because the mean of its divisors is an integer number (31231200).

Almost surely, 2^1921468416 is an apocalyptic number.

1921468416 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 1921468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998195200).

1921468416 is an abundant number, since it is smaller than the sum of its proper divisors (4074921984).

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

1921468416 is a wasteful number, since it uses less digits than its factorization.

1921468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1094 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1921468416 is about 43834.5573263835. The cubic root of 1921468416 is about 1243.2097764951.

The spelling of 1921468416 in words is "one billion, nine hundred twenty-one million, four hundred sixty-eight thousand, four hundred sixteen".