3802045521456 has 720 divisors, whose sum is σ = 14296448406240. Its totient is φ = 932015185920.

The previous prime is 3802045521451. The next prime is 3802045521473. The reversal of 3802045521456 is 6541255402083.

3802045521456 is a `hidden beast` number, since 3 + 80 + 2 + 0 + 4 + 5 + 521 + 45 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3802045521451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92349516 + ... + 92390676.

It is an arithmetic number, because the mean of its divisors is an integer number (19856178342).

Almost surely, 2^{3802045521456} is an apocalyptic number.

3802045521456 is a gapful number since it is divisible by the number (36) 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 3802045521456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7148224203120).

3802045521456 is an abundant number, since it is smaller than the sum of its proper divisors (10494402884784).

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

3802045521456 is a wasteful number, since it uses less digits than its factorization.

3802045521456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41274 (or 41258 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 3802045521456 in words is "three trillion, eight hundred two billion, forty-five million, five hundred twenty-one thousand, four hundred fifty-six".