356157648 has 400 divisors, whose sum is σ = 1330914816. Its totient is φ = 89268480.

The previous prime is 356157647. The next prime is 356157649. The reversal of 356157648 is 846751653.

356157648 is a `hidden beast` number, since 35 + 6 + 1 + 576 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (356157647) and next prime (356157649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356157647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4291015 + ... + 4291097.

Almost surely, 2^356157648 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 356157648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665457408).

356157648 is an abundant number, since it is smaller than the sum of its proper divisors (974757168).

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

356157648 is a wasteful number, since it uses less digits than its factorization.

356157648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 356157648 is about 18872.1394653600. The cubic root of 356157648 is about 708.8387072979.

The spelling of 356157648 in words is "three hundred fifty-six million, one hundred fifty-seven thousand, six hundred forty-eight".