857129453964 has 288 divisors, whose sum is σ = 2646684976320. Its totient is φ = 239108889600.

The previous prime is 857129453963. The next prime is 857129454019. The reversal of 857129453964 is 469354921758.

857129453964 is a `hidden beast` number, since 8 + 5 + 7 + 1 + 2 + 94 + 539 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (857129453963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44215554 + ... + 44234934.

It is an arithmetic number, because the mean of its divisors is an integer number (9189878390).

Almost surely, 2^857129453964 is an apocalyptic number.

857129453964 is a gapful number since it is divisible by the number (84) 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 857129453964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323342488160).

857129453964 is an abundant number, since it is smaller than the sum of its proper divisors (1789555522356).

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

857129453964 is a wasteful number, since it uses less digits than its factorization.

857129453964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19606 (or 19591 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 857129453964 in words is "eight hundred fifty-seven billion, one hundred twenty-nine million, four hundred fifty-three thousand, nine hundred sixty-four".