1345051656 has 224 divisors, whose sum is σ = 4134294360. Its totient is φ = 407586816.

The previous prime is 1345051651. The next prime is 1345051657. The reversal of 1345051656 is 6561505431.

1345051656 is a `hidden beast` number, since 134 + 5 + 0 + 516 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367488900 + 977562756 = 19170^2 + 31266^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1345051656.

It is not an unprimeable number, because it can be changed into a prime (1345051651) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8567130 + ... + 8567286.

Almost surely, 2^1345051656 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 1345051656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067147180).

1345051656 is an abundant number, since it is smaller than the sum of its proper divisors (2789242704).

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

1345051656 is a wasteful number, since it uses less digits than its factorization.

1345051656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1345051656 is about 36674.9458895306. The cubic root of 1345051656 is about 1103.8574366951.

It can be divided in two parts, 134505 and 1656, that added together give a square (136161 = 369²).

The spelling of 1345051656 in words is "one billion, three hundred forty-five million, fifty-one thousand, six hundred fifty-six".