434893812528357 has 32 divisors (see below), whose sum is σ = 792968774984960. Its totient is φ = 229394538475200.

The previous prime is 434893812528289. The next prime is 434893812528359. The reversal of 434893812528357 is 753825218398434.

It is a happy number.

434893812528357 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 9 + 38 + 12 + 528 + 3 + 57 = 666.

It is not a de Polignac number, because 434893812528357 - 2²² = 434893808334053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434893812528359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88500976894 + ... + 88500981807.

It is an arithmetic number, because the mean of its divisors is an integer number (24780274218280).

Almost surely, 2^{434893812528357} is an apocalyptic number.

It is an amenable number.

434893812528357 is a deficient number, since it is larger than the sum of its proper divisors (358074962456603).

434893812528357 is a wasteful number, since it uses less digits than its factorization.

434893812528357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177001958730 (or 177001958724 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 434893812528357 in words is "four hundred thirty-four trillion, eight hundred ninety-three billion, eight hundred twelve million, five hundred twenty-eight thousand, three hundred fifty-seven".