2357828063136 has 864 divisors, whose sum is σ = 8536905271440. Its totient is φ = 615425900544.

The previous prime is 2357828063111. The next prime is 2357828063179. The reversal of 2357828063136 is 6313608287532.

It is a happy number.

2357828063136 is a `hidden beast` number, since 2 + 3 + 578 + 2 + 8 + 0 + 6 + 31 + 36 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 768322371600 + 1589505691536 = 876540^2 + 1260756^2 .

It is a super-2 number, since 2×2357828063136² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3503458896 + ... + 3503459568.

Almost surely, 2^{2357828063136} is an apocalyptic number.

2357828063136 is a gapful number since it is divisible by the number (26) 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 2357828063136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268452635720).

2357828063136 is an abundant number, since it is smaller than the sum of its proper divisors (6179077208304).

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

2357828063136 is a wasteful number, since it uses less digits than its factorization.

2357828063136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2357828063136 in words is "two trillion, three hundred fifty-seven billion, eight hundred twenty-eight million, sixty-three thousand, one hundred thirty-six".