1351956648 has 192 divisors, whose sum is σ = 4062960000. Its totient is φ = 373621248.

The previous prime is 1351956643. The next prime is 1351956649. The reversal of 1351956648 is 8466591531.

Its product of digits (777600) is a multiple of the sum of its prime factors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1351956597 and 1351956606.

It is not an unprimeable number, because it can be changed into a prime (1351956643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6793653 + ... + 6793851.

It is an arithmetic number, because the mean of its divisors is an integer number (21161250).

Almost surely, 2^1351956648 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 1351956648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031480000).

1351956648 is an abundant number, since it is smaller than the sum of its proper divisors (2711003352).

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

1351956648 is a wasteful number, since it uses less digits than its factorization.

1351956648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 1351956648 is about 36768.9631074905. The cubic root of 1351956648 is about 1105.7431438991.

The spelling of 1351956648 in words is "one billion, three hundred fifty-one million, nine hundred fifty-six thousand, six hundred forty-eight".