434207195136 has 855 divisors, whose sum is σ = 1544035176453. Its totient is φ = 121456558080.

The previous prime is 434207195117. The next prime is 434207195197. The reversal of 434207195136 is 631591702434.

The square root of 434207195136 is 658944.

It is a perfect power (a square), and thus also a powerful number.

434207195136 is a `hidden beast` number, since 4 + 3 + 420 + 7 + 1 + 95 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64231833600 + 369975361536 = 253440^2 + 608256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434207195091 and 434207195100.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33400553466 + ... + 33400553478.

Almost surely, 2^434207195136 is an apocalyptic number.

434207195136 is the 658944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434207195136

434207195136 is an abundant number, since it is smaller than the sum of its proper divisors (1109827981317).

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

434207195136 is an frugal number, since it uses more digits than its factorization.

434207195136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 434207195136 in words is "four hundred thirty-four billion, two hundred seven million, one hundred ninety-five thousand, one hundred thirty-six".