191434251024 has 225 divisors, whose sum is σ = 571168266149. Its totient is φ = 59854377600.

The previous prime is 191434250977. The next prime is 191434251101. The reversal of 191434251024 is 420152434191.

The square root of 191434251024 is 437532.

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

191434251024 is a `hidden beast` number, since 1 + 91 + 4 + 34 + 2 + 510 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183927761424 + 7506489600 = 428868^2 + 86640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 191434251024.

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, 1895388574 + ... + 1895388674.

Almost surely, 2^191434251024 is an apocalyptic number.

191434251024 is the 437532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191434251024

191434251024 is an abundant number, since it is smaller than the sum of its proper divisors (379734015125).

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

191434251024 is an frugal number, since it uses more digits than its factorization.

191434251024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 191434251024 by its sum of digits (36), we get a square (6891633036864 = 2625192²).

191434251024 divided by its sum of digits (36) gives a square (5317618084 = 72922²).

The spelling of 191434251024 in words is "one hundred ninety-one billion, four hundred thirty-four million, two hundred fifty-one thousand, twenty-four".