1357065216 has 264 divisors, whose sum is σ = 4327587264. Its totient is φ = 406978560.

The previous prime is 1357065209. The next prime is 1357065257. The reversal of 1357065216 is 6125607531.

1357065216 is a `hidden beast` number, since 1 + 3 + 570 + 65 + 21 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5630856 + ... + 5631096.

It is an arithmetic number, because the mean of its divisors is an integer number (16392376).

Almost surely, 2^1357065216 is an apocalyptic number.

1357065216 is a gapful number since it is divisible by the number (16) 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 1357065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163793632).

1357065216 is an abundant number, since it is smaller than the sum of its proper divisors (2970522048).

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

1357065216 is a wasteful number, since it uses less digits than its factorization.

1357065216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1357065216 is about 36838.3660875452. The cubic root of 1357065216 is about 1107.1341313126.

The spelling of 1357065216 in words is "one billion, three hundred fifty-seven million, sixty-five thousand, two hundred sixteen".