1481983776 has 480 divisors, whose sum is σ = 5505147648. Its totient is φ = 380712960.

The previous prime is 1481983753. The next prime is 1481983843. The reversal of 1481983776 is 6773891841.

1481983776 is a `hidden beast` number, since 1 + 481 + 98 + 3 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2032128) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14388141 + ... + 14388243.

Almost surely, 2^1481983776 is an apocalyptic number.

1481983776 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 1481983776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752573824).

1481983776 is an abundant number, since it is smaller than the sum of its proper divisors (4023163872).

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

1481983776 is a wasteful number, since it uses less digits than its factorization.

1481983776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 1481983776 is about 38496.5423901940. The cubic root of 1481983776 is about 1140.1127866249.

The spelling of 1481983776 in words is "one billion, four hundred eighty-one million, nine hundred eighty-three thousand, seven hundred seventy-six".