1336406948352 has 480 divisors, whose sum is σ = 4663927382400. Its totient is φ = 359865483264.

The previous prime is 1336406948341. The next prime is 1336406948353. The reversal of 1336406948352 is 2538496046331.

1336406948352 is a `hidden beast` number, since 13 + 3 + 6 + 40 + 69 + 483 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (1336406948353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120728674 + ... + 120739742.

It is an arithmetic number, because the mean of its divisors is an integer number (9716515380).

Almost surely, 2^{1336406948352} is an apocalyptic number.

1336406948352 is a gapful number since it is divisible by the number (12) 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 1336406948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331963691200).

1336406948352 is an abundant number, since it is smaller than the sum of its proper divisors (3327520434048).

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

1336406948352 is a wasteful number, since it uses less digits than its factorization.

1336406948352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11316 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 1336406948352 in words is "one trillion, three hundred thirty-six billion, four hundred six million, nine hundred forty-eight thousand, three hundred fifty-two".