3371636451456 has 1280 divisors, whose sum is σ = 13499691448320. Its totient is φ = 809798860800.

The previous prime is 3371636451451. The next prime is 3371636451479. The reversal of 3371636451456 is 6541546361733.

3371636451456 is a `hidden beast` number, since 3 + 3 + 7 + 1 + 63 + 64 + 514 + 5 + 6 = 666.

It is a super-2 number, since 2×3371636451456² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3371636451451) 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 159 ways as a sum of consecutive naturals, for example, 497214786 + ... + 497221566.

It is an arithmetic number, because the mean of its divisors is an integer number (10546633944).

Almost surely, 2^{3371636451456} is an apocalyptic number.

3371636451456 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 3371636451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749845724160).

3371636451456 is an abundant number, since it is smaller than the sum of its proper divisors (10128054996864).

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

3371636451456 is a wasteful number, since it uses less digits than its factorization.

3371636451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875 (or 6854 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 3371636451456 in words is "three trillion, three hundred seventy-one billion, six hundred thirty-six million, four hundred fifty-one thousand, four hundred fifty-six".