1481696064 has 420 divisors, whose sum is σ = 4981858464. Its totient is φ = 434294784.

The previous prime is 1481696063. The next prime is 1481696093. The reversal of 1481696064 is 4606961841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481696063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34458027 + ... + 34458069.

Almost surely, 2^1481696064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490929232).

1481696064 is an abundant number, since it is smaller than the sum of its proper divisors (3500162400).

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

1481696064 is a wasteful number, since it uses less digits than its factorization.

1481696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1481696064 is about 38492.8053537281. The cubic root of 1481696064 is about 1140.0390014358.

The spelling of 1481696064 in words is "one billion, four hundred eighty-one million, six hundred ninety-six thousand, sixty-four".