3315692748456 has 160 divisors (see below), whose sum is σ = 10139960746080. Its totient is φ = 1003894819200.

The previous prime is 3315692748451. The next prime is 3315692748469. The reversal of 3315692748456 is 6548472965133.

3315692748456 is a `hidden beast` number, since 3 + 3 + 1 + 56 + 92 + 7 + 48 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3315692748393 and 3315692748402.

It is not an unprimeable number, because it can be changed into a prime (3315692748451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8148270 + ... + 8545506.

It is an arithmetic number, because the mean of its divisors is an integer number (63374754663).

Almost surely, 2^{3315692748456} is an apocalyptic number.

3315692748456 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 3315692748456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069980373040).

3315692748456 is an abundant number, since it is smaller than the sum of its proper divisors (6824267997624).

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

3315692748456 is a wasteful number, since it uses less digits than its factorization.

3315692748456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398437 (or 398424 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

It can be divided in two parts, 331569 and 2748456, that added together give a square (3080025 = 1755²).

The spelling of 3315692748456 in words is "three trillion, three hundred fifteen billion, six hundred ninety-two million, seven hundred forty-eight thousand, four hundred fifty-six".