8357114221632 has 672 divisors, whose sum is σ = 28337258926080. Its totient is φ = 2327171420160.

The previous prime is 8357114221607. The next prime is 8357114221639. The reversal of 8357114221632 is 2361224117538.

8357114221632 is a `hidden beast` number, since 8 + 3 + 5 + 7 + 1 + 1 + 4 + 2 + 2 + 1 + 632 = 666.

It is a super-2 number, since 2×8357114221632² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8357114221639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1545607473 + ... + 1545612879.

Almost surely, 2^{8357114221632} 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 8357114221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14168629463040).

8357114221632 is an abundant number, since it is smaller than the sum of its proper divisors (19980144704448).

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

8357114221632 is a wasteful number, since it uses less digits than its factorization.

8357114221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5826 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 8357114221632 in words is "eight trillion, three hundred fifty-seven billion, one hundred fourteen million, two hundred twenty-one thousand, six hundred thirty-two".